AN EFFICIENT FRACTIONAL INTEGRATION OPERATIONAL MATRIX OF THE CHEBYSHEV WAVELETS AND ITS APPLICATIONS FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 31

Abstract

In this paper, a new fractional integration operational matrix of the Chebyshev Wavelets is derived and is used to solve multi-order fractional differential equations. The greater advantage behind the proposed matrix is that any fractional differential equation is reduced into a system of algebraic equations. We show the simplicity, the efficiency and the appropriateness of the proposed technique with some numerical examples.

Keywords and Phrases

Fractional derivatives and integrals, Chebyshev wavelets, Fractional differential equations, Operational matrix.

A.M.S. subject classification

26A33, 34A08.

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