| 1 | 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 | Article In Publication |
| 2 | 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 | Article In Publication |
| 3 | Operational discrete Petrov-Galerkin method for solving distributed order FDEs | Zeynab Saki- Payam Mokhtary | Computational Methods for Differential Equations | 2026 | Article In Publication |
| 4 | 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 | Article In Publication |
| 5 | 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 | Article In Publication |
| 6 | 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 | Article In Conference |
| 7 | 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 | Article In Conference |
| 8 | 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 | Article In Conference |
| 9 | SPECTRAL COLLOCATION FOR DISTRIBUTED-ORDER FRACTIONAL BAGLEY-TORVIK EQUATION | Zeynab Saki - Payam Mokhtary | دومين کنفرانس بين المللي رياضيات و کاربردهاي آن | 1404 | Article In Conference |