Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals

Manar A. Alqudah, Pshtiwan Othman Mohammed and Thabet Abdeljawad

Mathematical Problems in Engineering, 2020, vol. 2020, 1-8

Abstract:

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 - Riemann–Liouville fractional integrals. Finally, some examples are proposed and they illustrate the rapidness of our new technical method.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1250970

DOI: 10.1155/2020/1250970

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