Mathematics and Computational Sciences

Numerical solutions of fractional optimal control problems based on RBF methods

Articles in Press

Document Type : Original Article

Authors

Zahra Vahedi Gandomani 1
Mahmoud Mahmoudi 1
Mehrzad Ghorbani 2

1 Department of Mathematics, University of Qom, Qom, Iran

2 Department of Mathematics, Qom University of Technology, Qom, Iran

https://doi.org/10.30511/mcs.2026.2070811.1462
Abstract
This study presents a numerical method based on Radial Basis Functions (RBFs) for solving a class of fractional optimal control problems. First, the necessary optimality conditions are derived in the form of a system of two fractional differential equations. Then, by solving an associated system of algebraic equations, an approximate solution to the problem is obtained. The fractional derivative considered in this study is the Caputo fractional derivative. Several examples are provided to demonstrate the effectiveness of the proposed method and to compare the accuracy of the resulting numerical solutions.

Keywords

Optimal control
Fractional calculus
Radial basis functions
Meshless method

Subjects

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Mathematics and Computational Sciences

Articles in Press, Accepted Manuscript
Available Online from 06 February 2026

  • Receive Date 05 September 2025
  • Revise Date 31 January 2026
  • Accept Date 06 February 2026

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