Direct methods for singular integral equations and non-homogeneous parabolic PDEs

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DOI:

https://doi.org/10.33993/jnaat512-1269

Keywords:

Laplace transform, L2-transform, modified Bessel function, Post-Widder transform
Abstract views: 275

Abstract

In this article, the author presented some applications of the Laplace, L2, and Post-Widder transforms for solving fractional Singular Integral Equations, impulsive differential equation and systems of differential equations. Finally, analytic solution for a non-homogeneous partial differential equation with non-constant coefficients is given. The obtained results reveal that the integral transform method is an effective tool and convenient.

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References

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Published

2022-12-31

Issue

Vol. 51 No. 2 (2022)

Section

Articles

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Copyright (c) 2022 Arman Aghili

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

How to Cite

Aghili, A. (2022). Direct methods for singular integral equations and non-homogeneous parabolic PDEs. J. Numer. Anal. Approx. Theory, 51(2), 109-123. https://doi.org/10.33993/jnaat512-1269