| ۱ | Numerical Solution of the Variable-Order Fractional Burger’s Equation Using a Hybrid Spectral Element Method with Adaptive Penalty Rate and Crank-Nicolson Leap-Frog Scheme | Negisa Ayazi - Payam Mokhtary | Mathematical Research | 2026 | مقاله در نشریه |
| ۲ | An Operational Jacobi Collocation Framework for Solving Linear Systems of Distributed-Order Fractional Differential Equations | Zeynab Saki- Payam Mokhtary | Electronic Transactions on Numerical Analysis | 2026 | مقاله در نشریه |
| ۳ | A Computational Framework Using Domain-Decomposed Spectral Element Method for Variable-Order Fractional Differential Equations | Negisa Ayazi- Payam Mokhtary- Behrouz Parsa Moghaddam | Communications in Nonlinear Science and Numerical Simulation | 2026 | مقاله در نشریه |
| ۴ | Operational discrete Petrov-Galerkin method for solving distributed order FDEs | Zeynab Saki- Payam Mokhtary | Computational Methods for Differential Equations | 2026 | مقاله در نشریه |
| ۵ | Numerical Solution of Variable-Order Fractional Bagley-Torvik Equation Using Multi-Domain Legendre Collocation Approach | Negisa Ayazi - Payam Mokhtary | Computational Methods for Differential Equations | 2026 | مقاله در نشریه |
| ۶ | Numerical Techniques for Distributed-Order Fractional Differential Equations Based on Spectral Methods | Zeynab Saki - Payam Mokhtary | Advanced COmputational Methods in Engineering and Applied Mathematics (ACOMEN۲۰۲۵) | 2025 | مقاله در همایش |
| ۷ | A discrete Gauss Legendre-Tau approach for the numerical solution of distributed order fractional differential equations | P. Mokhtary - Z. Saki | 10th Seminar on Numerical Analysis and its Applications, University of Tabriz, 2024, Iran. | 2024 | مقاله در همایش |
| ۸ | Solving fractional delay differential equations via spectral element collocation approach | P. Mokhtary - N. Ayazi | 10th Seminar on Numerical Analysis and its Applications, University of Tabriz, 2024, Iran. | 2024 | مقاله در همایش |
| ۹ | Operational Galerkin method for a class of system of generalized Abel integral equations | P. Mokhtary - E. Hesameddini - R. Kafi | 54th Annual Iranian mathematics conference | 2023 | مقاله در همایش |
| ۱۰ | Control of condition number in spectral Galerkin implementation for solving generalized Abel integral equation | P. Mokhtary - E. Hesameddini - R. Kafi | 12th international seminar on linear algebra and its applications | 2023 | مقاله در همایش |
| ۱۱ | A novel algorithm and its convergence analysis for solving the generalized Abel integral equations through fractional calculus | R. Kaafi - E. Hesameddini - P. Mokhtary | Asian-European Journal of Mathematics | 2023 | مقاله در نشریه |
| ۱۲ | A novel approach based on the Muntz-Legendre polynomials for solving a class of the generalized Abel integral equations | R. Kaafi - E. Hesameddini - P. Mokhtary | Journal of Information and Optimization Sciences | 2023 | مقاله در نشریه |
| ۱۳ | Error analysis of the generalized Jacobi Galerkin method in nonlinear fractional differential equations | P. Mokhtary - F. Ghoreishi | Progress in Fractional Differentiation & Applications | 2023 | مقاله در نشریه |
| ۱۴ | Mixed Poisson-Gaussian noise reduction using a time-space fractional differential equations | F. Gholami Bahador - P. Mokhtary - M. Lakestani | Information Sciences | 2023 | مقاله در نشریه |
| ۱۵ | Operational Jacobi Galerkin method for a class of cordial Volterra integral equations | R. Kaafi - E. Hesameddini - P. Mokhtary | Numerical Algorithms | 2023 | مقاله در نشریه |
| ۱۶ | A robust spectral scheme for non-linear dynamical model of COVID-19 disease | P. Mokhtary - A. Faghih | 9th Seminar on Numerical Analysis and its Applications | 2022 | مقاله در همایش |
| ۱۷ | A fractional coupled system for simultaneous image denoising and deblurring | F. Gholami Bahador - P. Mokhtary - M. Lakestani | Computers & Mathematics with Applications | 2022 | مقاله در نشریه |
| ۱۸ | A Fractional version of the recurisive Tau method for solving general class of Abel-Volterra integral equations systems | Y. Talaei - S. Shahmorad - P. Mokhtary - A. Faghih | Fractional Calculus and Applied Analysis | 2022 | مقاله در نشریه |
| ۱۹ | Non-linear system of multi-order fractional differential equations: Theoretical analysis and a robust fractional Galerkin | P. Mokhtary - A. Faghih | Journal of Scientific Computing | 2022 | مقاله در نشریه |
| ۲۰ | The Muntz-Galerkin method for numerical solution of the generalized Abel-integral equation | P. Mokhtary - E. Hesameddini - R. Kafi | 52th Annual Iranian mathematics conferencee | 2021 | مقاله در همایش |
