Solution a Class of Riemann-Liouville Derivative-Composition Fractional Order Optimal Control Problems

Abstract

This paper introduces a new direction to approximately solving a class of multi between Riemann-Liouville fractional derivative of ∈ (0,1), and the composition of the Caputo fractional derivative of , ∈ (0,1) with the control variable ().In this technique; we approximate FOCPs with boundary conditions. The method is based on a spectral method using Chebyshev polynomials approximation and Clenshaw and Curtis scheme for the numerical integration of non-singular functions to evaluate both the state and control variables. Illustrative examples are included to demonstrate the validity and applicability of the suggested approaches.