Direct numerical method for isoperimetric fractional variational problems based on operational matrix-Reference-Cited by-同舟云学术

Direct numerical method for isoperimetric fractional variational problems based on operational matrix

Published:2017-04-02 Issue:14 Volume:24 Page:3063-3076
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Ezz–Eldien Samer S¹,Bhrawy Ali H²,El–Kalaawy Ahmed A²

Affiliation:

1. Department of Mathematics, Assiut University, Egypt

2. Department of Mathematics, Beni-Suef University, Egypt

Abstract

In this paper, we applied a direct method for a solution of isoperimetric fractional variational problems. We use shifted Legendre orthonormal polynomials as basis function of operational matrices of fractional differentiation and fractional integration in combination with the Lagrange multipliers technique for converting such isoperimetric fractional variational problems into solving a system of algebraic equations. Also, we show the convergence analysis of the presented technique and introduce some test problems with comparisons between our numerical results with those introduced using different methods.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546317700344

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