New solutions for system of fractional integro-differential equations and Abel's integral equations by Chebyshev spectral method
type: Item
instance of: scholarly article
title: New solutions for system of fractional integro-differential equations and Abel's integral equations by Chebyshev spectral method
zbMATH Open document ID: 1426.65223
DOI: 10.1155/2017/7853839
author: Hassan A. Zedan
author: Seham Sh. Tantawy
author: Yara M. Sayed
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: Chebyshev spectral method based on operational matrix is applied to both systems of fractional integro-differential equations and Abel's integral equations. Some test problems, for which the exact solution is known, are considered. Numerical results with comparisons are made to confirm the reliability of the method. Chebyshev spectral method may be considered as alternative and efficient technique for finding the approximation of system of fractional integro-differential equations and Abel's integral equations.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34K07
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 6972495
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7853839
OpenAlex ID: W2602512207
Wikidata QID: Q59147783
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description: scientific article; zbMATH DE number 6972495