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Paper Information

Journal:   MATHEMATICAL SCIENCES   2018 , Volume 12 , Number 2; Page(s) 129 To 136.
 
Paper: 

Hybrid Legendre functions to solve differential equations with fractional derivatives

 
 
Author(s):  NOURI K.*, TORKZADEH L., MOHAMMADIAN S.
 
* Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, Iran
 
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.
 
Keyword(s): Fractional differential equations,Operational matrix,Legendre polynomials,Block-pulse function,Fixed-point theorem
 
References: 
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