Title of article
Hybrid Legendre functions to solve differential equations with fractional derivatives
Author/Authors
Nouri, K Department of Mathematics - Faculty of Mathematics - Statistics and Computer Sciences - Semnan University , Torkzadeh, L Department of Mathematics - Faculty of Mathematics - Statistics and Computer Sciences - Semnan University , Mohammadian, S Department of Mathematics - Faculty of Mathematics - Statistics and Computer Sciences - Semnan University
Pages
8
From page
129
To page
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.
Keywords
Fractional differential equations , Operational matrix , Legendre polynomials , Block-pulse function , Fixed-point theorem
Journal title
Astroparticle Physics
Serial Year
2018
Record number
2449427
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