عنوان المقالة:حل صف من مشتقة ريمان-ليوفيل ذات الرتب الكسرية التركيبية لمسائل السيطرة المثلى Solution a Class of Riemann-Liouville Derivative-Composition Fractional Order Optimal Control Problems

معتز عباس هليل | Moataz Abbas Holel | 7294

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Publication Type

Journal

Arabic Authors

معتز عباس هليل

English Authors

Moataz Abbas Holel

Abstract

This paper introduces a new direction to approximately solving a class of multi between Riemann-Liouville fractional derivative of 𝜐 ∈ (0,1), and the composition of the Caputo fractional derivative of 𝛼, 𝛽 ∈ (0,1) with the control variable 𝑢(𝑡).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.

Publication Date

7/22/2018

Publisher

International Journal of Applied Science and Technology

Volume No

8

Issue No

2

ISSN/ISBN

2221-0997

DOI

http://dx.doi.org/10.30845/ijast.v8n2a5

Pages

12

File Link

تحميل (375 مرات التحميل)

Keywords

Fractional calculus, Riemann-Liouville fractional derivatives, Fractional optimal control, Boundary value problems, Chebyshev polynomials, Gauss-Lobatto nodes.