Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials

Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials

Abstract We investigate the existence of solutions for a sum-type fractional integro-differential problem via the Caputo differentiation. By using the shifted Legendre and Chebyshev polynomials, we provide a numerical method for finding solutions for the problem. In this way, we give some examples t...

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Bibliographic Details
Main Authors: Eisa Akbari Kojabad, Shahram Rezapour
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Advances in Difference Equations
Subjects:
approximate fixed point
Chebyshev polynomial
Legendre polynomial
numerical solution
sum-type fractional integro-differential equation
Online Access:http://link.springer.com/article/10.1186/s13662-017-1404-y

Internet

http://link.springer.com/article/10.1186/s13662-017-1404-y

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