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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2017-11-01
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Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-017-1404-y |