Solution of singular integral equations via Riemann-Liouville fractional integrals
type: Item
instance of: scholarly article
title: Solution of singular integral equations via Riemann-Liouville fractional integrals
zbMATH Open document ID: 1459.65239
DOI: 10.1155/2020/1250970
author: Manar A. Al-Qudah
author: Pshtiwan Othman Mohammed
author: Thabet Abdeljawad
published in: Mathematical Problems in Engineering
publication date: 2020-10-14T00:00:00Z
review text: Summary: In this attempt, we introduce a new technique to solve main generalized Abel's integral equations and generalized weakly singular Volterra integral equations analytically. This technique is based on the Adomian decomposition method, Laplace transform method, and \(\Psi \)-Riemann-Liouville fractional integrals. Finally, some examples are proposed and they illustrate the rapidness of our new technical method.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 7260944
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/1250970
OpenAlex ID: W3091499157
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description: scientific article; zbMATH DE number 7260944