Abouelregal, A. E., Ahmad, H., Yavuz, M., Nofal, T. A., & Alsulami, M. D. (2022). An orthotropic thermo-viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via MGT thermoelasticity. Open Physics, 20(1), 1127–1141. https://doi.org/10.1515/phys-2022-0143

Ahmad, M., Naik, P. A., Yavuz, M., & Zada, A. (2026). Analyzing the soliton waves’ behavior in the (3+1)-dimensional time-fractional Jimbo-Miwa equation. Modern Physics Letters B, 40(11), Article 2650070. https://doi.org/10.1142/s0217984926500703

Akgül, E. K., Akgül, A., & Yavuz, M. (2021). New illustrative applications of integral transforms to financial models with different fractional derivatives. Chaos, Solitons & Fractals, 146, Article 110877. https://doi.org/10.1016/j.chaos.2021.110877

Al-Essa, L. A., Akram, S., Rahman, M. U., Aldawsari, K., & Yavuz, M. (2026). Analytical dynamics of complex soliton structures characterized by hyperbolic, trigonometric, and Jacobi elliptic solutions in the coupled Higgs system. Journal of Mathematics, 2026(1), Article 1703570. https://doi.org/10.1155/jom/1703570

Alhamzi, G., Bin-Asfour, M., Yavuz, M., Solouma, E., Sarrah, A., & Saber, S. (2026). Comparative numerical analysis of MSGDTM and Jacobi spectral collocation methods for a fractional-order computer virus model. Journal of Mathematics, 2026(1), Article 1047686. https://doi.org/10.1155/jom/1047686

Almalki, F. M. K., Solouma, E., Yavuz, M., Saber, S., & Sarrah, A. (2026). Analytical and numerical study of bifurcations and reaction-diffusion patterns in a predator-prey model with holling-III response and variable carrying capacity. Ain Shams Engineering Journal, 17(6), Article 104131. https://doi.org/10.1016/j.asej.2026.104131

Althobati, S., Bazighifan, O., & Yavuz, M. (2021). Some important criteria for oscillation of non-linear differential equations with middle term. Mathematics, 9(4), Article 346. https://doi.org/10.3390/math9040346

Anjam, Y. N., Yavuz, M., Rahman, M. U., & Batool, A. (2023). Analysis of a fractional pollution model in a system of three interconnecting lakes. AIMS Biophysics, 10(2), 220–240. https://doi.org/10.3934/biophy.2023014

Attaullah, Mahdi, K., Yavuz, M., Boulaaras, S., Haiour, M., & Pham, V.-T. (2024). Computational approaches on integrating vaccination and treatment strategies in the SIR model using Galerkin time discretization scheme. Mathematical and Computer Modelling of Dynamical Systems, 30(1), 758–791. https://doi.org/10.1080/13873954.2024.2405504

Avci, D., Ozdemir, N., & Yavuz, M. (2019). Fractional optimal control of a diffusive transport acting on a spherical region. In H. Singh, D. Kumar, & D. Baleanu (Eds.), Methods of mathematical modelling (pp. 63–82). CRC Press. https://doi.org/10.1201/9780429274114-5

Avcı, D., Yavuz, M., & Özdemir, N. (2019). Fundamental solutions to the Cauchy and Dirichlet problems for a heat conduction equation equipped with the Caputo-Fabrizio differentiation. In J. Hristov & R. Bennacer (Eds.), Heat conduction: Methods, applications and research (pp. 95–107). Nova Science Publishers.

Bazighifan, O., Nofal, T. A., & Yavuz, M. (2021). Oscillation results of Emden-Fowler-type differential equations. Symmetry, 13(3), Article 410. https://doi.org/10.3390/sym13030410

Bhat, I. A., Mishra, L. N., & Yavuz, M. (2026). An effective interpolation numerical technique for solutions of fractional Volterra integral equations. Journal of Applied Mathematics, 2026(1), Article 3000488. https://doi.org/10.1155/jama/3000488

Bonyah, E., Yavuz, M., Baleanu, D., & Kumar, S. (2022). A robust study on the listeriosis disease by adopting fractal-fractional operators. Alexandria Engineering Journal, 61(3), 2016–2028. https://doi.org/10.1016/j.aej.2021.07.010

Boulaaras, S., Yavuz, M., Alrashedi, Y., Bahramand, S., & Jan, R. (2025). Modeling the co-dynamics of vector-borne infections with the application of optimal control theory. Discrete and Continuous Dynamical Systems - S, 18(5), 1331–1352. https://doi.org/10.3934/dcdss.2024109

Boulaasair, L., Bouzahir, H., & Yavuz, M. (2024). Global mathematical analysis of a patchy epidemic model. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 14(4), 365–377. https://doi.org/10.11121/ijocta.1558

Boulaasair, L., Yavuz, M., & Bouzahir, H. (2025). Asymptotic analysis of poverty dynamics via Feller semigroups. Mathematics, 13(13), Article 2120. https://doi.org/10.3390/math13132120

Çeçen, M., Rivera, M., & Yavuz, M. (2026). A comprehensive case study of wind energy production forecasting in Türkiye using enhanced attention BiLSTM. Wind Energy, 29(5), Article e70114. https://doi.org/10.1002/we.70114

Danane, J., Yavuz, M., & Qureshi, S. (2025). Mathematical analysis of a fractional-order viral infection model with saturated infection rate and cellular immune response. Konuralp Journal of Mathematics, 13(1), 67–77. https://dergipark.org.tr/en/pub/konuralpjournalmath/article/1553823

Danane, J., Yavuz, M., & Yıldız, M. (2023). Stochastic modeling of three-species prey-predator model driven by Lévy jump with mixed Holling-II and Beddington-DeAngelis functional responses. Fractal and Fractional, 7(10), Article 751. https://doi.org/10.3390/fractalfract7100751

Divya, A., Sivabalan, M., Yavuz, M., Ashwin, A., & Pradeep, M. S. (2025). Dynamical analysis of a Crowley-Martin eco-epidemiological model with impact of fear, prey refuge and harvesting. Jambura Journal of Biomathematics (JJBM), 6(4), 363–375. https://doi.org/10.37905/jjbm.v6i4.34528

Duran, S., Durur, H., Yavuz, M., & Yokus, A. (2023). Discussion of numerical and analytical techniques for the emerging fractional order Murnaghan model in materials science. Optical and Quantum Electronics, 55(6), Article 571. https://doi.org/10.1007/s11082-023-04838-1

Durur, H., Yokuş, A., & Yavuz, M. (2022). Behavior analysis and asymptotic stability of the traveling wave solution of the Kaup-Kupershmidt equation for conformable derivative. In M. Yavuz & N. Özdemir (Eds.), Fractional calculus: New applications in understanding nonlinear phenomena (pp. 162–185). Bentham Science Publishers. https://doi.org/10.2174/9789815051933122030010

Ebrahimzadeh, A., Jajarmi, A., & Yavuz, M. (2025). Fractional optimal control of anthroponotic cutaneous leishmaniasis with behavioral and epidemiological extensions. Mathematical and Computational Applications, 30(6), Article 122. https://doi.org/10.3390/mca30060122

Enver, A., Anwer, A. M. O. A., Yavuz, M., & Ayaz, F. (2026). General fractional calculus approach to a three-dimensional nonlinear reaction–diffusion system for atherosclerosis: LDL, Lipoprotein(a) and CRP dynamics with Sonine kernels. Chaos, Solitons & Fractals, 211, Article 118848. https://doi.org/10.1016/j.chaos.2026.118848

Enver, A., Ayaz, F., Yavuz, M., & Usta, F. (2026). Fractional reaction-diffusion modelling of immune-mediated demyelination in multiple sclerosis under IFN-beta and glatiramer acetate therapy. Fractal and Fractional, 10(5), Article 281. https://doi.org/10.3390/fractalfract10050281

Eskandari, Z., Naik, P. A., & Yavuz, M. (2024). Dynamical behaviors of a discrete-time prey-predator model with harvesting effect on the predator. Journal of Applied Analysis & Computation, 14(1), 283–297. https://doi.org/10.11948/20230212

Evirgen, F., Özköse, F., Yavuz, M., & Özdemir, N. (2022). Optimal control strategies on COVID-19 and omicron variant containing heart attack by using real data from Turkey [Conference presentation]. International Conference on Mathematical Analysis and Applications in Science and Engineering.

Evirgen, F., Özköse, F., Yavuz, M., & Özdemir, N. (2023). Real data-based optimal control strategies for assessing the impact of the Omicron variant on heart attacks. AIMS Bioengineering, 10(3), 218–239. https://doi.org/10.3934/bioeng.2023015

Evirgen, F., & Yavuz, M. (2018). An alternative approach for nonlinear optimization problem with Caputo-Fabrizio derivative. ITM Web of Conferences, 22, Article 01009. https://doi.org/10.1051/itmconf/20182201009

Fadaei, Y., & Yavuz, M. (2026). Physics-informed Bayesian neural SDEs with uncertainty quantification: A unified framework for biomedical dynamics and financial market modeling. Physica A: Statistical Mechanics and Its Applications, 699, Article 131885. https://doi.org/10.1016/j.physa.2026.131885

Farah, G. A., Yavuz, M., Abdel-Salam, E. A.-B., & Çelik, E. (2026). Soliton behavior under multiplicative white noise: Analytical and numerical insights using the mKdV equation. International Journal of Theoretical Physics, 65(10), Article 282. https://doi.org/10.1007/s10773-026-06468-1

Fatima, B., Yavuz, M., Rahman, M. U., & Al-Duais, F. S. (2023). Modeling the epidemic trend of Middle Eastern respiratory syndrome coronavirus with optimal control. Mathematical Biosciences and Engineering, 20(7), 11847–11874. https://doi.org/10.3934/mbe.2023527

Fatima, B., Yavuz, M., Rahman, M. U., Althobaiti, A., & Althobaiti, S. (2023). Predictive modeling and control strategies for the transmission of Middle East respiratory syndrome coronavirus. Mathematical and Computational Applications, 28(5), Article 98. https://doi.org/10.3390/mca28050098

Fayz-Al-Asad, Md., Oreyeni, T., Yavuz, M., & Olanrewaju, P. O. (2022). Analytic simulation of MHD boundary layer flow of a chemically reacting upper-convected Maxwell fluid past a vertical surface subjected to double stratifications with variable properties. The European Physical Journal Plus, 137(7), Article 813. https://doi.org/10.1140/epjp/s13360-022-03014-w

Fayz-Al-Asad, Md., Yavuz, M., Alam, Md. N., Sarker, Md. M. A., & Bazighifan, O. (2021). Influence of fin length on magneto-combined convection heat transfer performance in a lid-driven wavy cavity. Fractal and Fractional, 5(3), Article 107. https://doi.org/10.3390/fractalfract5030107

Gdawiec, K., Qureshi, S., Shaikh, F., Baleanu, D., Soomro, A., Argyros, I. K., Nizamani, P., & Yavuz, M. (2026). Highly accurate and stable class of zero-finding numerical methods based on Daftardar-Jafari decomposition approach for engineering applications. Mathematical Methods in the Applied Sciences, 49(8), 8167–8208. https://doi.org/10.1002/mma.70467

Ghoreishi, M., Naik, P. A., & Yavuz, M. (2022). Optimal homotopy analysis of a nonlinear fractional-order model for HTLV-1 infection of CD4+ T-cells. In M. Yavuz & N. Özdemir (Eds.), Fractional calculus: New applications in understanding nonlinear phenomena (pp. 124–161). Bentham Science Publishers. https://doi.org/10.2174/9789815051933122030009

Hammouch, Z., Yavuz, M., & Özdemir, N. (2021). Numerical solutions and synchronization of a variable-order fractional chaotic system. Mathematical Modelling and Numerical Simulation with Applications, 1(1), 11–23. https://doi.org/10.53391/mmnsa.2021.01.002

Haq, I. U., Yavuz, M., Ali, N., & Akgül, A. (2022). A SARS-CoV-2 fractional-order mathematical model via the modified Euler method. Mathematical and Computational Applications, 27(5), Article 82. https://doi.org/10.3390/mca27050082

Hassaballa, A. A., Yavuz, M., Abdel-Salam, E. A.-B., Farah, G. A. M. O., & Daqqa, I. (2025). Geometrical representation and Hirota direct approach for multiple soliton solutions of nonlinear M-coupled fractional equations. Mathematical and Computer Modelling of Dynamical Systems, 31(1), Article 2595101. https://doi.org/10.1080/13873954.2025.2595101

Hassaballa, A. A., Yavuz, M., Farah, G. A. M. O., Almulhim, F. A., Abdel-Khalek, S., & Abdel-Salam, E. A.-B. (2025). Mathematical modeling of influence of multiplicative white noise on dynamical soliton solutions in the KdV equation. Mathematics Open, 4, Article 2550013. https://doi.org/10.1142/s2811007225500130

Hossain, M. S., Fayz-Al-Asad, M., Mallik, M. S. I., Yavuz, M., Alim, Md. A., & Khairul Basher, K. Md. (2022). Numerical study of the effect of a heated cylinder on natural convection in a square cavity in the presence of a magnetic field. Mathematical and Computational Applications, 27(4), Article 58. https://doi.org/10.3390/mca27040058

Ikram, R., Khan, A., Zahri, M., Saeed, A., Yavuz, M., & Kumam, P. (2022). Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay. Computers in Biology and Medicine, 141, Article 105115. https://doi.org/10.1016/j.compbiomed.2021.105115

Islam, T., Yavuz, M., Parveen, N., & Fayz-Al-Asad, Md. (2022). Impact of non-uniform periodic magnetic field on unsteady natural convection flow of nanofluids in square enclosure. Fractal and Fractional, 6(2), Article 101. https://doi.org/10.3390/fractalfract6020101

Jena, R. M., Chakraverty, S., & Yavuz, M. (2020). Two-hybrid techniques coupled with an integral transformation for Caputo time-fractional Navier-Stokes equations. Progress in Fractional Differentiation and Applications, 6(3), 201–213. https://doi.org/10.18576/pfda/060304

Jena, R. M., Chakraverty, S., Yavuz, M., & Abdeljawad, T. (2021). A new modeling and existence-uniqueness analysis for Babesiosis disease of fractional order. Modern Physics Letters B, 35(30), Article 2150443. https://doi.org/10.1142/s0217984921504431

Joshi, H., Jha, B. K., & Yavuz, M. (2023). Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data. Mathematical Biosciences and Engineering, 20(1), 213–240. https://doi.org/10.3934/mbe.2023010

Joshi, H., & Yavuz, M. (2023). Transition dynamics between a novel coinfection model of fractional-order for COVID-19 and tuberculosis via a treatment mechanism. The European Physical Journal Plus, 138(5), Article 468. https://doi.org/10.1140/epjp/s13360-023-04095-x

Joshi, H., & Yavuz, M. (2024). Numerical analysis of compound biochemical calcium oscillations process in hepatocyte cells. Advanced Biology, 8(4), Article 2300647. https://doi.org/10.1002/adbi.202300647

Joshi, H., & Yavuz, M. (2025a). Chaotic dynamics of a cancer model with singular and non-singular kernel. Discrete and Continuous Dynamical Systems - S, 18(5), 1416–1439. https://doi.org/10.3934/dcdss.2025016

Joshi, H., & Yavuz, M. (2025b). Preface. Discrete and Continuous Dynamical Systems - S, 18(5), i–v. https://doi.org/10.3934/dcdss.2025023

Joshi, H., & Yavuz, M. (2026). A novel fractional-order model and analysis of cancer-immune system interaction in an avascular environment with an efficient control mechanism. Journal of Computational and Applied Mathematics, 473, Article 116888. https://doi.org/10.1016/j.cam.2025.116888

Joshi, H., Yavuz, M., & Özdemir, N. (2024). Analysis of novel fractional order plastic waste model and its effects on air pollution with treatment mechanism. Journal of Applied Analysis & Computation, 14(6), 3078–3098. https://doi.org/10.11948/20230453

Joshi, H., Yavuz, M., & Stamova, I. (2023). Analysis of the disturbance effect in intracellular calcium dynamic on fibroblast cells with an exponential kernel law. Bulletin of Biomathematics, 1(1), 24–39. https://doi.org/10.59292/bulletinbiomath.2023002

Joshi, H., Yavuz, M., Taylan, O., & Alkabaa, A. (2025). Dynamic analysis of fractal-fractional cancer model under chemotherapy drug with generalized Mittag-Leffler kernel. Computer Methods and Programs in Biomedicine, 260, Article 108565. https://doi.org/10.1016/j.cmpb.2024.108565

Joshi, H., Yavuz, M., Townley, S., & Jha, B. K. (2023). Stability analysis of a non-singular fractional-order covid-19 model with nonlinear incidence and treatment rate. Physica Scripta, 98(4), Article 045216. https://doi.org/10.1088/1402-4896/acbe7a

Kalidass, M., Zeng, S., & Yavuz, M. (2022). Stability of fractional-order quasi-linear impulsive integro-differential systems with multiple delays. Axioms, 11(7), Article 308. https://doi.org/10.3390/axioms11070308

Keten, A., Yavuz, M., & Baleanu, D. (2019). Nonlocal Cauchy problem via a fractional operator involving power kernel in Banach spaces. Fractal and Fractional, 3(2), Article 27. https://doi.org/10.3390/fractalfract3020027

Keten Çopur, A., & Yavuz, M. (2018). Identifying of the solutions of nonlinear fractional differential equations with Caputo-Fabrizio operator in Banach spaces [Conference presentation]. International Conference on Applied Mathematics in Engineering.

Köstekçi, E., Yavuz, M., & Kurupınar, A. (2016). Investigation of entrepreneurship characteristics and reflective thinking levels of mathematics teacher candidates [Conference presentation]. International INES Academic Researches Congress.

Kumar, P., Suat Erturk, V., Banerjee, R., Yavuz, M., & Govindaraj, V. (2021). Fractional modeling of plankton-oxygen dynamics under climate change by the application of a recent numerical algorithm. Physica Scripta, 96(12), Article 124044. https://doi.org/10.1088/1402-4896/ac2da7

Kurupınar, A., Köstekçi, E., & Yavuz, M. (2016). Factors affecting the high school preferences of Imam Hatip High School IHHS 9th grade students post secondary school and their expectations from IHHS [Conference presentation]. International INES Academic Researches Congress.

Magudeeswaran, S., Sivabalan, M., Yavuz, M., Singh, D. K., & Giridharan, K. (2026). Optimal harvesting of three species intraguild predation model with ratio-dependent functional response. Control and Optimization in Applied Mathematics, 11(1), 73–99. https://doi.org/10.30473/coam.2025.75850.1343

Mani, D. N. P., Shanmugam, M., Yavuz, M., & Muthuradhinam, S. (2025). Dynamic behaviour of an eco-epidemiological model of fractional-order with a fear effect. Journal of Applied Mathematics and Computing, 71(3), 3913–3937. https://doi.org/10.1007/s12190-025-02382-7

Megala, T., Pradeep, M. S., Yavuz, M., Gopal, T. N., & Sivabalan, M. (2025). A role of fear on diseased food web model with multiple functional response. Physical Biology, 22(1), Article 016004. https://doi.org/10.1088/1478-3975/ad9261

Muhammad, S., Anwar, T., Asifa, & Yavuz, M. (2023). Comprehensive investigation of thermal and flow features of alloy based nanofluid considering shape and Newtonian heating effects via new fractional approach. Fractal and Fractional, 7(2), Article 150. https://doi.org/10.3390/fractalfract7020150

Naik, P. A., Eskandari, Z., Yavuz, M., & Huang, Z. (2025). Bifurcation results and chaos in a two-dimensional predator-prey model incorporating Holling-type response function on the predator. Discrete and Continuous Dynamical Systems - S, 18(5), 1212–1229. https://doi.org/10.3934/dcdss.2024045

Naik, P. A., Eskandari, Z., Yavuz, M., & Zu, J. (2022). Complex dynamics of a discrete-time Bazykin-Berezovskaya prey-predator model with a strong Allee effect. Journal of Computational and Applied Mathematics, 413, Article 114401. https://doi.org/10.1016/j.cam.2022.114401

Naik, P. A., Owolabi, K. M., Yavuz, M., & Zu, J. (2020). Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells. Chaos, Solitons & Fractals, 140, Article 110272. https://doi.org/10.1016/j.chaos.2020.110272

Naik, P. A., Yavuz, M., Qureshi, S., Naik, M., Owolabi, K. M., Soomro, A., & Ganie, A. H. (2024). Memory impacts in hepatitis C: A global analysis of a fractional-order model with an effective treatment. Computer Methods and Programs in Biomedicine, 254, Article 108306. https://doi.org/10.1016/j.cmpb.2024.108306

Naik, P. A., Yavuz, M., Qureshi, S., Zu, J., & Townley, S. (2020). Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan. The European Physical Journal Plus, 135(10), Article 795. https://doi.org/10.1140/epjp/s13360-020-00819-5

Naik, P. A., Yavuz, M., & Zu, J. (2020). The role of prostitution on HIV transmission with memory: A modeling approach. Alexandria Engineering Journal, 59(4), 2513–2531. https://doi.org/10.1016/j.aej.2020.04.016

Naik, P. A., Yeolekar, B. M., Qureshi, S., Yavuz, M., Huang, Z., & Yeolekar, M. (2025). Fractional insights in tumor modeling: An interactive study between tumor carcinogenesis and macrophage activation. Advanced Theory and Simulations, 8(7), Article 2401477. https://doi.org/10.1002/adts.202401477

Özdemir, N., & Yavuz, M. (2017). Numerical solution of fractional Black-Scholes equation by using the multivariate Padé approximation. Acta Physica Polonica A, 132(3–II), 1050–1053. https://doi.org/10.12693/aphyspola.132.1050

Özdemir, N., & Yavuz, M. (2018). A new approximate solution via the fractional operators defined with singular and nonsingular kernel [Conference presentation]. 5th International Conference on Computational and Experimental Science and Engineering.

Özköse, F., Öztürk, İ., Yılmaz, S., Şenel, M. T., Yavuz, M., Şen Bağcı, B., & Doğan, M. (2021). A Caputo fractional order model for tumor-immune system-host cells interaction: A lung cancer application [Conference presentation]. 2nd International Conference on Applied Mathematics in Engineering (ICAME21).

Özköse, F., & Yavuz, M. (2021). Investigation of interactions between COVID-19 and diabetes with hereditary traits using real data: A case study in Turkey [Conference presentation]. 2nd Nonlinear Dynamics and Complexity.

Özköse, F., & Yavuz, M. (2022). Investigation of interactions between COVID-19 and diabetes with hereditary traits using real data: A case study in Turkey. Computers in Biology and Medicine, 141, Article 105044. https://doi.org/10.1016/j.compbiomed.2021.105044

Özköse, F., Yavuz, M., Şenel, M. T., & Habbireeh, R. (2022). Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom. Chaos, Solitons & Fractals, 157, Article 111954. https://doi.org/10.1016/j.chaos.2022.111954

Özköse, F., Yılmaz, S., Şenel, M. T., Yavuz, M., Townley, S., & Doğan Sarıkaya, M. (2024). A mathematical modeling of patient-derived lung cancer stem cells with fractional-order derivative. Physica Scripta, 99(11), Article 115235. https://doi.org/10.1088/1402-4896/ad80e1

Özköse, F., Yılmaz, S., Yavuz, M., Öztürk, İ., Şenel, M. T., Bağcı, B. Ş., Doğan, M., & Önal, Ö. (2022). A fractional modeling of tumor-immune system interaction related to lung cancer with real data. The European Physical Journal Plus, 137(1), Article 40. https://doi.org/10.1140/epjp/s13360-021-02254-6

Raeisi, E., Yavuz, M., Khosravifarsani, M., & Fadaei, Y. (2024). Mathematical modeling of interactions between colon cancer and immune system with a deep learning algorithm. The European Physical Journal Plus, 139(4), Article 345. https://doi.org/10.1140/epjp/s13360-024-05111-4

Rahman, M. U., Ghodhbani, R., Yavuz, M., & Tabassum, S. (2026). Interventions in corruption dynamics: A computational analysis with a piecewise-modified fractional-order derivative. Discrete Dynamics in Nature and Society, 2026(1), Article 5747999. https://doi.org/10.1155/ddns/5747999

Rahman, M. U., Yavuz, M., Arfan, M., & Sami, A. (2024). Theoretical and numerical investigation of a modified ABC fractional operator for the spread of polio under the effect of vaccination. AIMS Biophysics, 11(1), 97–120. https://doi.org/10.3934/biophy.2024007

Sabbar, Y., Yavuz, M., & Özköse, F. (2022). Infection eradication criterion in a general epidemic model with logistic growth, quarantine strategy, media intrusion, and quadratic perturbation. Mathematics, 10(22), Article 4213. https://doi.org/10.3390/math10224213

Sakarya, Ş., Yavuz, M., Karaoğlan, A. D., & Özdemir, N. (2015). Stock market index prediction with neural network during financial crises: A review on Bist-100. Financial Risk and Management Reviews, 1(2), 53–67. https://doi.org/10.18488/journal.89/2015.1.2/89.2.53.67

Sakarya, Ş., Yıldırım, H. H., & Yavuz, M. (2017). Kurumsal yönetim endeksi ve katılım 30 endeksi ile BİST 50 endeksi’nin performanslarının değerlendirilmesi [Conference presentation]. Uluslararası Sosyal Araştırmalar Kongresi (USAK’17).

Sakarya, Ş., Yıldırım, H., & Yavuz, M. (2018). Kurumsal yönetim endeksi ve katılım 30 endeksi ile BİST 50 endeksi’nin performanslarının değerlendirilmesi. Süleyman Demirel Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 23(2), 439–454. https://dergipark.org.tr/tr/pub/sduiibfd/article/703487

Salur, M. N., & Yavuz, M. (2014). An application on prediction of exchange rate with artificial neural networks [Conference presentation]. 9th International Statistics Day Symposium (ISDS 2014).

Sarrah, A., Alanazi, F. J., Yavuz, M., & Saber, S. (2026). The effects of fluctuating carrying capacity on the dynamics of a Holling-type III predator-prey model. Journal of Mathematics, 2026(1), Article 5067259. https://doi.org/10.1155/jom/5067259

Shafqat, R., Niazi, A. U. K., Yavuz, M., Jeelani, M. B., & Saleem, K. (2022). Mild solution for the time-fractional Navier-Stokes equation incorporating MHD effects. Fractal and Fractional, 6(10), Article 580. https://doi.org/10.3390/fractalfract6100580

Sulaiman, T. A., Yavuz, M., Bulut, H., & Baskonus, H. M. (2019). Investigation of the fractional coupled viscous Burgers’ equation involving Mittag-Leffler kernel. Physica A: Statistical Mechanics and Its Applications, 527, Article 121126. https://doi.org/10.1016/j.physa.2019.121126

Tabassum, M. F., Akram, S., Mahmood-ul-Hassan, S., Karim, R., Naik, P. A., Farman, M., Yavuz, M., Naik, M., & Ahmad, H. (2021). Differential gradient evolution plus algorithm for constraint optimization problems: A hybrid approach. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 11(2), 158–177. https://doi.org/10.11121/ijocta.01.2021.001077

Tamilzharasan, B. M., Karthikeyan, S., Kaabar, M. K. A., Yavuz, M., & Özköse, F. (2022). Magneto mixed convection of Williamson nanofluid flow through a double stratified porous medium in attendance of activation energy. Mathematical and Computational Applications, 27(3), Article 46. https://doi.org/10.3390/mca27030046

Ullah, I., Ahmad, I., Ali, N., Haq, I. U., Idrees, M., Albalwi, M. D., & Yavuz, M. (2024). Mathematical modeling and analysis of Ebola virus disease dynamics: Implications for intervention strategies and healthcare resource optimization. Mathematical and Computational Applications, 29(5), Article 94. https://doi.org/10.3390/mca29050094

Veeresha, P., Kiran, M. S., Akinyemi, L., & Yavuz, M. (2022). A unified approach for the fractional system of equations arising in the biochemical reaction without singular kernel. In M. Yavuz & N. Özdemir (Eds.), Fractional calculus: New applications in understanding nonlinear phenomena (pp. 210–231). Bentham Science Publishers. https://doi.org/10.2174/9789815051933122030012

Veeresha, P., & Yavuz, M. (2021). A computational approach to shallow water forced Korteweg–De Vries equation on critical flow over a hole with three fractional operators [Conference presentation]. 2nd International Conference on Applied Mathematics in Engineering (ICAME21).

Veeresha, P., Yavuz, M., & Baishya, C. (2021). A computational approach for shallow water forced Korteweg–De Vries equation on critical flow over a hole with three fractional operators. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 11(3), 52–67. https://doi.org/10.11121/ijocta.2021.1177

Yavuz, M. (2016). Secondary school mathematics teachers teaching learning activities when teaching geometry [Conference presentation]. International INES Academic Researches Congress.

Yavuz, M. (2018a). Behavior of fractional derivative operators defined on two different kernels in nonlinear equations [Conference presentation]. International Conference on Applied Mathematics in Engineering.

Yavuz, M. (2018b). Fundamental solution of heat problem with a new fractional derivative operator involving normalized sinc function [Conference presentation]. International Conference on Mathematical Studies and Applications.

Yavuz, M. (2018c). Novel recursive approximation for fractional nonlinear equations within Caputo-Fabrizio operator. ITM Web of Conferences, 22, Article 01008. https://doi.org/10.1051/itmconf/20182201008

Yavuz, M. (2018d). Novel solution methods for initial boundary value problems of fractional order with conformable differentiation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 8(1), 1–7. https://doi.org/10.11121/ijocta.01.2018.00540

Yavuz, M. (2019a). A Markov chain analysis for BIST participation index. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(1), 1–8. https://doi.org/10.25092/baunfbed.433310

Yavuz, M. (2019b). A reliable treatment of homotopy method for time-fractional differential equations [Conference presentation]. International Conference on Mathematics: An Istanbul Meeting for World Mathematicians.

Yavuz, M. (2019c). Characterizations of two different fractional operators without singular kernel. Mathematical Modelling of Natural Phenomena, 14(3), Article 302. https://doi.org/10.1051/mmnp/2018070

Yavuz, M. (2019d). Dynamical behaviors of separated homotopy method defined by conformable operator. Konuralp Journal of Mathematics, 7(1), 1–6. https://dergipark.org.tr/en/pub/konuralpjournalmath/article/543592

Yavuz, M. (2019e). Elzaki transformation coupled with the decomposition method [Conference presentation]. International Science, Technology and Innovation Congress.

Yavuz, M. (2020a). Classical and generalized Mittag-Leffler kernels in option pricing models [Conference presentation]. First Online Conference on Modern Fractional Calculus and Its Applications (OCMFCA-2020).

Yavuz, M. (2020b). Mathematical modelling and parameter estimation of the fractional order COVID-19 epidemics [Conference presentation]. Online International Conference of COVID-19 (CONCOVID).

Yavuz, M. (2022). European option pricing models described by fractional operators with classical and generalized Mittag-Leffler kernels. Numerical Methods for Partial Differential Equations, 38(3), 434–456. https://doi.org/10.1002/num.22645

Yavuz, M., & Abdeljawad, T. (2020). Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel. Advances in Difference Equations, 2020(1), Article 367. https://doi.org/10.1186/s13662-020-02828-1

Yavuz, M., Akman, M., Usta, F., & Özdemir, N. (2022). Effect of the awareness parameter on a fractional-order tuberculosis model. AIP Conference Proceedings, 2644, Article 070006. https://doi.org/10.1063/5.0114888

Yavuz, M., Akyüz, K., Bayraktar, N. B., & Özdemir, F. N. (2024). Hepatitis-B disease modelling of fractional order and parameter calibration using real data from the USA. AIMS Biophysics, 11(3), 378–402. https://doi.org/10.3934/biophy.2024021

Yavuz, M., Başaçık, M., & Yaman, A. N. (2025). A new prey-predator modeling with experimental data for biological control of couch grass. Fundamental Journal of Mathematics and Applications, 8(4), 225–234. https://doi.org/10.33401/fujma.1806523

Yavuz, M., Bayraktar, N. B., Akyüz, K., & Özdemir, F. N. (2025). A new mathematical model for hepatitis-B and the effect of vertical transmission in the model. Necmettin Erbakan Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, 7(2), 214–227. https://doi.org/10.47112/neufmbd.2025.87

Yavuz, M., & Bonyah, E. (2019). New approaches to the fractional dynamics of Schistosomiasis disease model. Physica A: Statistical Mechanics and Its Applications, 525, 373–393. https://doi.org/10.1016/j.physa.2019.03.069

Yavuz, M., Boulaasair, L., Bouzahir, H., Diop, M. A., & Benaid, B. (2024). The impact of two independent Gaussian white noises on the behavior of a stochastic epidemic model. Journal of Applied Mathematics and Computational Mechanics, 23(1), 121–134. https://doi.org/10.17512/jamcm.2024.1.10

Yavuz, M., Coşar, F. Ö., Günay, F., & Özdemir, F. N. (2021). A new mathematical modeling of the COVID-19 pandemic including the vaccination campaign. Open Journal of Modelling and Simulation, 9(3), 299–321. https://doi.org/10.4236/ojmsi.2021.93020

Yavuz, M., Coşar, F. Ö., & Usta, F. (2022). A novel modeling and analysis of fractional-order COVID-19 pandemic having a vaccination strategy. AIP Conference Proceedings, 2644, Article 070005. https://doi.org/10.1063/5.0114880

Yavuz, M., & Dassios, I. (2024). Significance of mathematical modeling and control in real-world problems: New developments and applications. Mathematical and Computational Applications, 29(5), Article 82. https://doi.org/10.3390/mca29050082

Yavuz, M., Evirgen, F., Coşar, F. Ö., & Özdemir, N. (2022). A new vaccinated fractional-order COVID-19 model and sensitivity analysis with real data from Türkiye [Conference presentation]. 9th INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND EXPERIMENTAL SCIENCE AND ENGINEERING (ICCESEN-2022).

Yavuz, M., Evirgen, F., Özköse, F., & Özdemir, N. (2022). An optimal control strategy for COVID-19 using real data [Conference presentation]. International Conference on Computational Mathematics and Engineering Sciences (CMES2022).

Yavuz, M., & Haydar, W. Y. A. (2022). A new mathematical modelling and parameter estimation of COVID-19: A case study in Iraq. AIMS Bioengineering, 9(4), 420–446. https://doi.org/10.3934/bioeng.2022030

Yavuz, M., Özdemir, F. N., Akyüz, K., & Bayraktar, N. B. (2025). The relationship between colon cancer and immune system: A fractional order modelling approach. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 27(1), 126–144. https://doi.org/10.25092/baunfbed.1498218

Yavuz, M., & Özdemir, N. (2013). Risk return prediction in the ISE National Industrial Index and determining of the optimal portfolio with artificial neural networks [Conference presentation]. 26th European Conference on Operational Research.

Yavuz, M., & Özdemir, N. (2016a). A study on Istanbul stock exchange participation index with Markov chain and artificial intelligence [Conference presentation]. International Congress on Fundamental and Applied Sciences.

Yavuz, M., & Özdemir, N. (2016b). Numerical solution of fractional Black Scholes equation by using the multivariate Padé approximation [Conference presentation]. 3rd International Conference on Computational and Experimental Science and Engineering.

Yavuz, M., & Özdemir, N. (2017a). Comparing the Caputo–Fabrizio and Atangana–Baleanu fractional derivative with Laplace homotopy perturbation method [Conference presentation]. 4th International Conference on Computational and Experimental Science and Engineering (ICCESEN-2017).

Yavuz, M., & Özdemir, N. (2017b). Numerical solutions of fractional partial differential equations by using a new fractional derivative [Conference presentation]. 4th International Conference on Computational and Experimental Science and Engineering (ICCESEN-2017).

Yavuz, M., & Özdemir, N. (2017c). Numerical solutions of fractional partial differential equations by using Laplace transform [Conference presentation]. International Workshop on Mathematical Methods in Engineering (MME2017).

Yavuz, M., & Özdemir, N. (2018a). A different approach to the European option pricing model with new fractional operator. Mathematical Modelling of Natural Phenomena, 13(1), Article 12. https://doi.org/10.1051/mmnp/2018009

Yavuz, M., & Özdemir, N. (2018b). A feed-forward neural network approach to Istanbul stock exchange. Journal of Applied Computer Science & Mathematics, 12(2), 31–36. https://doi.org/10.4316/jacsm.201802005

Yavuz, M., & Özdemir, N. (2018c). A quantitative approach to fractional option pricing problems with decomposition series. Konuralp Journal of Mathematics, 6(1), 102–109. https://dergipark.org.tr/tr/download/article-file/462779

Yavuz, M., & Özdemir, N. (2018d). An integral transform solution for fractional advection-diffusion problem [Conference presentation]. International Conference on Mathematical Studies and Applications.

Yavuz, M., & Özdemir, N. (2018e). European vanilla option pricing model of fractional order without singular kernel. Fractal and Fractional, 2(1), Article 3. https://doi.org/10.3390/fractalfract2010003

Yavuz, M., & Ozdemir, N. (2018). Numerical inverse Laplace homotopy technique for fractional heat equations. Thermal Science, 22(Suppl. 1), 185–194. https://doi.org/10.2298/tsci170804285y

Yavuz, M., & Özdemir, N. (2018f). On the solutions of fractional Cauchy problem featuring conformable derivative. ITM Web of Conferences, 22, Article 01045. https://doi.org/10.1051/itmconf/20182201045

Yavuz, M., & Özdemir, N. (2018g). SIR epidemic model with Caputo-Fabrizio fractional operator [Conference presentation]. International Conference on Applied Mathematics in Engineering.

Yavuz, M., & Özdemir, N. (2019a). New numerical techniques for solving fractional partial differential equations in conformable sense. In P. Ostalczyk, D. Sankowski, & J. Nowakowski (Eds.), Non-integer order calculus and its applications (pp. 49–62). Springer. https://doi.org/10.1007/978-3-319-78458-8_5

Yavuz, M., & Özdemir, N. (2019b). Sumudu transform solution of the inhomogeneous Burgers equation [Conference presentation]. International Conference on Mathematics: An Istanbul Meeting for World Mathematicians.

Yavuz, M., & Özdemir, N. (2020a). Analysis of an epidemic spreading model with exponential decay law. Mathematical Sciences and Applications E-Notes, 8(1), 142–154. https://doi.org/10.36753/mathenot.691638

Yavuz, M., & Özdemir, N. (2020b). Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel. Discrete and Continuous Dynamical Systems - S, 13(3), 995–1006. https://doi.org/10.3934/dcdss.2020058

Yavuz, M., Ozdemir, N., & Baskonus, H. M. (2018). Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel. The European Physical Journal Plus, 133(6), Article 215. https://doi.org/10.1140/epjp/i2018-12051-9

Yavuz, M., Özdemir, N., & Yıldırım, H. H. (2017). A mathematical approach for Istanbul Stock Exchange Market [Conference presentation]. International Conference on Mathematics and Engineering (ICOME2017).

Yavuz, M., Özdemir, N., & Yolcu Okur, Y. (2016). Generalized differential transform method for fractional partial differential equation from finance [Conference presentation]. International Conference on Fractional Differentiation and its Applications.

Yavuz, M., Özköse, F., Akman, M., & Taştan, Z. T. (2023). A new mathematical model for tuberculosis epidemic under the consciousness effect. Mathematical Modelling and Control, 3(2), 88–103. https://doi.org/10.3934/mmc.2023009

Yavuz, M., Özköse, F., Susam, M., & Kalidass, M. (2023). A new modeling of fractional-order and sensitivity analysis for hepatitis-B disease with real data. Fractal and Fractional, 7(2), Article 165. https://doi.org/10.3390/fractalfract7020165

Yavuz, M., Öztürk, M., & Yaşkıran, B. (2025a). Comparison of fractional order sliding mode controllers on robot manipulator. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 15(2), 281–293. https://doi.org/10.36922/ijocta.1678

Yavuz, M., Öztürk, M., & Yaşkıran, B. (2025b). Sliding mode controller of fractional order for a robot manipulator control. In B. K. Jha, N. Jha, J. Brahma, & M. Yavuz (Eds.), Computational modeling and sustainable energy (pp. 193–213). Springer. https://doi.org/10.1007/978-981-97-6794-6_12

Yavuz, M., Rahman, M. U., Yildiz, M., & Joshi, H. (2024). Mathematical modeling of Middle East respiratory syndrome coronavirus with bifurcation analysis. Contemporary Mathematics, 5(3), 3997–4012. https://doi.org/10.37256/cm.5320245004

Yavuz, M., Sakarya, Ş., Karaoğlan, A. D., & Özdemir, N. (2014). Istanbul Stock Exchange BIST index prediction with neural networks during the financial crises [Conference presentation]. 4th International Conference on Engineering Optimization.

Yavuz, M., Sakarya, Ş., & Özdemir, N. (2015). Yapay sinir ağları ile risk-getiri tahmini ve portföy analizi. Niğde Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 8(4), 87–107. https://dergipark.org.tr/tr/pub/niguiibfd/issue/19760/211573

Yavuz, M., Salur, M. N., Sakarya, Ş., Özdemir, N., Kayıkçıoğlu, T., Cansu, A., Kart, P. Ö., Yıldırım, Ö., Doğan, R. Ö., & Türe, H. (2014). Prediction of Istanbul Stock Exchange Corporate Governance Index with Markov chain [Conference presentation]. 9th International Statistics Day Symposium (ISDS 2014).

Yavuz, M., & Sene, N. (2020a). Approximate solutions of the model describing fluid flow using generalized ρ-Laplace transform method and heat balance integral method. Axioms, 9(4), Article 123. https://doi.org/10.3390/axioms9040123

Yavuz, M., & Sene, N. (2020b). Stability analysis and numerical computation of the fractional predator-prey model with the harvesting rate. Fractal and Fractional, 4(3), Article 35. https://doi.org/10.3390/fractalfract4030035

Yavuz, M., & Sene, N. (2021). Fundamental calculus of the fractional derivative defined with Rabotnov exponential kernel and application to nonlinear dispersive wave model. Journal of Ocean Engineering and Science, 6(2), 196–205. https://doi.org/10.1016/j.joes.2020.10.004

Yavuz, M., Sene, N., & Yıldız, M. (2022). Analysis of the influences of parameters in the fractional second-grade fluid dynamics. Mathematics, 10(7), Article 1125. https://doi.org/10.3390/math10071125

Yavuz, M., Sulaiman, T. A., Usta, F., & Bulut, H. (2021). Analysis and numerical computations of the fractional regularized long-wave equation with damping term. Mathematical Methods in the Applied Sciences, 44(9), 7538–7555. https://doi.org/10.1002/mma.6343

Yavuz, M., Sulaiman, T. A., Yusuf, A., & Abdeljawad, T. (2021). The Schrödinger-KdV equation of fractional order with Mittag-Leffler nonsingular kernel. Alexandria Engineering Journal, 60(2), 2715–2724. https://doi.org/10.1016/j.aej.2021.01.009

Yavuz, M., & Susam, M. (2019). An application on the comparison of numerical and semi-analytical methods [Conference presentation]. International Conference on Mathematics and Mathematics Education- ICMME 2019.

Yavuz, M., & Susam, M. (2021). Modelling of hepatitis-B disease having vertical transmission [Conference presentation]. 5th International Conference on Computational Mathematics and Engineering Sciences (CMES2021).

Yavuz, M., & Usta, F. (2021a). A price adjustment model in market equilibrium with conformable Laplace method [Conference presentation]. 4th International E-Conference on Mathematical Advances and Applications (ICOMAA-2021).

Yavuz, M., & Usta, F. (2021b). Babesiosis disease modeling of fractional order and investigation of its dynamics [Conference presentation]. 4th International E-Conference on Mathematical Advances and Applications (ICOMAA-2021).

Yavuz, M., & Usta, F. (2023). Importance of modelling and simulation in biophysical applications. AIMS Biophysics, 10(3), 258–262. https://doi.org/10.3934/biophy.2023017

Yavuz, M., & Yaşkıran, B. (2017). Approximate-analytical solutions of cable equation using conformable fractional operator. New Trends in Mathematical Science, 5(4), 209–219. https://doi.org/10.20852/ntmsci.2017.232

Yavuz, M., & Yaşkıran, B. (2018a). Conformable derivative operator in modelling neuronal dynamics. Applications and Applied Mathematics: An International Journal (AAM), 13(2), 803–817. https://www.pvamu.edu/aam/wp-content/uploads/sites/182/2018/12/13_R1145_AAM_Yavuz_Posted_121718_pp803_817.pdf

Yavuz, M., & Yaşkıran, B. (2018b). Conformable operator in approximate solutions of nonlinear differential equations [Conference presentation]. International Conference on Applied Mathematics in Engineering.

Yavuz, M., & Yaşkıran, B. (2018c). Homotopy methods for fractional linear/nonlinear differential equations with a local derivative operator. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(3), 75–89. https://doi.org/10.25092/baunfbed.476608

Yavuz, M., & Yokus, A. (2020). Analytical and numerical approaches to nerve impulse model of fractional order. Numerical Methods for Partial Differential Equations, 36(6), 1348–1368. https://doi.org/10.1002/num.22476

Yavuz, M., Yolcu Okur, Y., & Özdemir, N. (2015). A numerical computation of fractional Black Scholes equation [Conference presentation]. International Conference on Theory and Applications in Mathematics and Informatics (ICTAMI 2015).

Yildirim, H. H., & Yavuz, M. (2019). Evaluation of wind energy investment with artificial neural networks. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 9(2), 142–147. https://doi.org/10.11121/ijocta.01.2019.00780

Yıldırım, H. H., & Yavuz, M. (2018). Wind energy investments’ profitability index based on artificial neural networks [Conference presentation]. International Conference on AppliedMathematics in Engineering.

Yokus, A., & Yavuz, M. (2021). Novel comparison of numerical and analytical methods for fractional Burger-Fisher equation. Discrete and Continuous Dynamical Systems - S, 14(7), 2591–2606. https://doi.org/10.3934/dcdss.2020258

Yokuş, A., & Yavuz, M. (2021). Solutions of modified Schrödinger equation by using analytical and numerical methods [Conference presentation]. 2nd International Conference on Applied Mathematics in Engineering (ICAME21).

Zada, L., Nawaz, R., Nisar, K. S., Tahir, M., Yavuz, M., Kaabar, M. K. A., & Martínez, F. (2021). New approximate-analytical solutions to partial differential equations via auxiliary function method. Partial Differential Equations in Applied Mathematics, 4, Article 100045. https://doi.org/10.1016/j.padiff.2021.100045