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.
Gandomani et al. (2026) studied this question.