Kamal Mamehrashi

Overview

Kamal is currently Assistant Professor in Mathematics at UKH. He received his PhD in Applied Mathematics in 2016, MSc in Applied Mathematics in 2003 and BSc in Pure Mathematics in 2000. He joined Mathematics unit at UKH as lecturer in February 2017. Prior to joining UKH, he worked as Assistant Professor and Lecturer for 15 years from 2002 at different Universities in Iran. Kamal has served as the head of mathematics and engineering department for more than 10 years. Kamal’s research centers on solving 2D optimal control problems, delay optimal control problem, fractional optimal control problems by high-performance numerical methods. He has published several high quality and peer reviewed papers in top control journals. Currently, he is co-supervising 2 PhD students and has conducted one MSc and one PhD theses in advisor role. Moreover, he has recently started studying on mathematical modeling of diseases.

Education

• - PhD, Applied Mathematics (Optimal Control & Optimization), 2016
• - MSc, Applied Mathematics (Differential Equations & Dynamical Systems), 2003
• - BSc, Pure Mathematics, 2000

Publications

M. Dadkhah, S. Nezhadhosein, K. Mamehrashi, Hybrid Chelyshkov polynomials for solving the optimal control problems along with the operational matrix, 2022, Submitted.

K. Mamehrashi, Ritz approximate method for solving delay fractional optimal control problems, Journal of Computational and Applied Mathematics, 2022, Doi: 10.1016/j.cam.2022.114606. (ISI, IF=2.872)

S.M. Hosseini, F. Soltanian, K. Mamehrashi, The Ritz numerical method and Legendre Block-Pulse polynomials for a class of two-dimensional time-delay optimal control problems, Under review.

F. Sofivand, F. Soltanian, K. Mamehrashi, A numerical approach for solving a class of two-dimensional variable-order fractional optimal control problems using Gegenbauer operational matrix, Under review.

S.M. Hosseini, F. Soltanian, K. Mamehrashi, Solution of two-dimensional optimal control problem using Legendre Block-Pulse polynomial basis, Pure and Applied Mathematics Quarterly, 2022, 18(3), 1075-7094. (ISI, IF=0.659)

M. Dadkhah, K. Mamehrashi, Numerical solution of time-delay optimal control problems by operational matrix based on Hartley series, Transactions of the Institute of Measurement and Control, 2022, 44 (6), 1344-1355. (ISI, IF=2.146)

F. Sofivand, F. Soltanian, K. Mamehrashi, An operational matrix method based on the Gegenbauer polynomials for solving a class of fractional optimal control problems, International Journal of Industrial Electronics, Control and Optimization (IECO), 2021, 4 (4), 475-484. (ISC)

K. Mamehrashi, A new method for solving interval and fuzzy quadratic equations of dual forms, UKH Journal of Science and Engineering, 2021, 5(2), 81-89.

K. Mamehrashi, A. Nemati, A new approach for solving infinite horizon optimal control problems using Laguerre functions and Ritz spectral method, International Journal of Computer Mathematics, 2020, 97 (7), 1529-1544. (ISI, IF=1.75)

K. Mamehrashi, S.A. Yousefi, F. Soltanian, On the Numerical Scheme of a 2D Optimal Control Problem with the Hyperbolic System via Bernstein Polynomial Basis, Transactions of the Institute of Measurement and Control, 2019, 41 (7), 1896-1903. (ISI, IF=2.146)

A. Nemati, K. Mamehrashi, The use of the Ritz method and Laplace transform for solving 2D fractional optimal control problems described by Roesser model, Asian Journal of Control, 2019, 21 (4), 1-13. (ISI, IF=2.444)

K. Mamehrashi, F. Soltanian, A numerical technique for solving a class of 2D variational problems using Legendre spectral method, Computational Methods for Differential Equations (CMDE), 2018, 6(4), 471-482. (ESCI-ISC)

K. Mamehrashi, S.A. Yousefi, A Numerical Method for Solving a Nonlinear 2-D Optimal Control Problem with the Classical Diffusion Equation, International Journal of Control, 2017, 90 (2), 298-306. (ISI, IF=2.102)

K. Mamehrashi, S.A. Yousefi, Numerical Solution of a Class of Two‐dimensional Quadratic Optimal Control Problems by Using Ritz Method, Optimal Control Applications and Method, 2016, 37 (4), 765–781. (ISI, IF=1.955)

K. Mamehrashi, The Planet Motion Under Effect of Drag Force F ⃗=-ε υ ⃗, International Journal of Mathematics and Computation, 2011, 10 (M11), 161-165.

K. Mamehrashi, On the Gravitational Collapse of Relativistic Binary Pulsar, Journal of Applied Functional Analysis, 2009, 4 (3), 544-552.

Professional Qualification

• - ZbMATH member
• - Editorial board at UKH Journal of Science and Engineering
• - Head of mathematics and engineering department, PNU