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Title

Hybrid Legendre functions to solve differential equations with fractional derivatives

Pages

  129-136

Abstract

 This paper introduces an approach based on hybrid Operational matrix to obtain a numerical scheme to solve Fractional differential equations. The idea is to convert the given equations into a system of equations, based on the block-pulse and Legendre polynomials. Also, we employ the Banach Fixed-point theorem to analyze the problem on the Banach algebra C[0, b] for some Fractional differential equations, which include many key functional differential equations that arise in linear and nonlinear analysis.

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