Department of Mathematical Sciences, University of South Africa, South Africa

Email: jafari.usern@gmail.com

Qualifications

2006 Ph.D., Applied Mathematics, Pune University, India

2001 M.Sc., Applied Mathematics, Tarbiat  Modares University, Iran

1998 B.Sc., Applied Mathematics, University of Mazandaran, Iran

Publications (Selected)

1. SINGH, A., JAFARI, H., HAMZEKOLAEE, A. R. M. (2026). ANALYSIS OF SOLUTE TRANSPORT IN FINITE SOIL COLUMNS USING FRACTIONAL-ORDER MODEL AND SPECTRAL COLLOCATION METHOD. Fractals, 2650035.
2. Jafari, H., Meddahi, M., Gasimov, Y. S. (2025). Solutions of the Hyperbolic Fractional Inclusions Under Weak Assumptions in Banach Spaces. Fractals, 2540257.
3. Nikan, O., Rashidinia, J., Jafari, H. (2025). An improved local radial basis function method for pricing options under the time-fractional Black–Scholes model. Journal of Computational Science, 102610.
4. Jafari, H., Tajadodi, H., Gasimov, Y. S. (2025). Modern Computational Methods for Fractional Differential Equations. CRC Press.
5. Zhou, T., Ncube, M. N., Salati, S., Jafari, H. (2025). Operational matrices for solving a class of variable-order partial differential equations. FRACTALS (fractals), 33(06), 1-9.
6. Zarvan, Z., Sayevand, K., Ganji, R. M., Jafari, H. (2025). A reliable numerical algorithm mixed with hypergeometric function for analyzing fractional variational problems. Numerical Algorithms, 98(4), 2081-2112.
7. Jafari, H., Salati, S., Matinfar, M., Nguyen, V. T. (2025). A numerical scheme for a class of nonlinear multi-order fractional differential equations. Fractals, 33(06), 2540132.
8. Nikan, O., Rashidinia, J., Jafari, H. (2025). Numerically pricing American and European options using a time fractional Black–Scholes model in financial decision-making. Alexandria Engineering Journal, 112, 235-245.
9. Luc, N. H., Jafari, H., Kumam, P., Tuan, N. H. (2024). On an initial value problem for time fractional pseudo‐parabolic equation with Caputo derivative. Mathematical Methods in the Applied Sciences, 47(13), 11245-11267.
10. Qureshi, S., Argyros, I. K., Jafari, H., Soomro, A., Gdawiec, K. (2024). A highly accurate family of stable and convergent numerical solvers based on Daftardar–Gejji and Jafari decomposition technique for systems of nonlinear equations. MethodsX, 13, 102865.
11. Jafari, H., Ganji, R. M., Salati, S., Johnston, S. J. (2024). A mixed-method to numerical simulation of variable order stochastic advection diffusion equations. Alexandria Engineering Journal, 89, 60-70.
12. Jafari, H., Malidareh, B. F., Hosseini, V. R. (2024). Collocation discrete least squares meshless method for solving nonlinear multi-term time fractional differential equations. Engineering Analysis with Boundary Elements, 158, 107-120.
13. Salati, S., Matinfar, M., Jafari, H. (2023). A numerical approach for solving Bagely-Torvik and fractional oscillation equations. Adv Math Model Appl, 8(2), 241-52.
14. Jafari, H., Goswami, P., Dubey, R. S., Sharma, S., Chaudhary, A. (2023). Fractional SIZR model of Zombie infection. Int. J. Math. Comput. Eng, 1(1), 91-104.
15. Jafari, H., Ganji, R. M., Ganji, D. D., Hammouch, Z., Gasimov, Y. S. (2023). A novel numerical method for solving fuzzy variable-order differential equations with Mittag-Leffler kernels. Fractals, 31(04), 2340063.
16. Jafari, H., Ganji, R. M., Narsale, S. M., Kgarose, M., Nguyen, V. T. (2023). Application of hosoya polynomial to solve a class of time-fractional diffusion equations. Fractals, 31(04), 2340059.
17. Jafari, H., Ganji, R. M., Sayevand, K., Baleanu, D. (2022). A numerical approach for solving fractional optimal control problems with Mittag-Leffler kernel. Journal of Vibration and Control, 28(19-20), 2596-2606.
18. Uma, D., Jafari, H., Balachandar, S. R., Venkatesh, S. G. (2022). An approximate solution for stochastic Burgers’ equation driven by white noise. Computational and Applied Mathematics, 41(7), 321.
19. Tajadodi, H., Jafari, H., Ncube, M. N. (2022). Genocchi polynomials as a tool for solving a class of fractional optimal control problems. An International Journal of Optimization and Control: Theories Applications (IJOCTA), 12(2), 160-168.
20. Tuan, N. H., Nemati, S., Ganji, R. M., Jafari, H. (2022). Numerical solution of multi-variable order fractional integro-differential equations using the Bernstein polynomials. Engineering with Computers, 38(Suppl 1), 139-147.
21. Meddahi, M., Jafari, H., Yang, X. J. (2022). Towards new general double integral transform and its applications to differential equations. Mathematical Methods in the Applied Sciences, 45(4), 1916-1933.
22. Ganji, R. M., Jafari, H., Kgarose, M., Mohammadi, A. (2021). Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials. Alexandria Engineering Journal, 60(5), 4563-4571.
23. Ganji, R. M., Jafari, H., Moshokoa, S. P., Nkomo, N. S. (2021). A mathematical model and numerical solution for brain tumor derived using fractional operator. Results in Physics, 28, 104671.
24. Jafari, H. (2021). A new general integral transform for solving integral equations. Journal of Advanced Research, 32, 133-138.

Profile Details

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WoS Researcher ID: E-9912-2016