International Journal of Applied Science and Technology

ISSN 2221-0997 (Print), 2221-1004 (Online) 10.30845/ijast

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

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.

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