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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2021, Volume & Issue : BPAS-Maths & Stat 40E(2), JUL-DEC 2021
Page No. : 155-163, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2021.00017.5 (Communicated, edited and typeset in Latex by Jyotindra C. Prajapati (Editor). Received February 23, 2020 / Revised August 28, 2021 / Accepted September 19, 2021. Online First Published on December 17, 2021)

An application of the Laplace-Carson transform method for the solution of the generalized Abels integral equation

Sudhanshu Aggarwal 1 and Lalit Mohan Upadhyaya 2
Author’s Affiliation : 1. Department of Mathematics, National Post Graduate College, Barhalganj, Gorakhpur-273402, Uttar Pradesh, India. 2. Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, Uttarakhand-248179, India.

Corresponding Author : Sudhanshu Aggarwal,
E-Mail:-[email protected]


Abstract

In the current scenario integral transforms is an interesting field for research due to the wide applicability of the method of integral transforms in obtaining the analytical solution of many problems of engineering, physical sciences, and space science, etc. In this paper we determine the analytical primitive (solution) of a generalized Abels integral equation by employing the Laplace-Carson transform method. For the purpose of the applicability of this method we illustrate five numerical problems which are solved with the help of the Lapalce-Carson transform method. 

2020 Mathematics Subject Classification:  44A05, 44A10, 44A20, 44A35, 45A05, 45E10, 45E99.

Keywords

Laplace-Carson transform, Inverse Laplace-Carson transform, Generalized Abel integral equation, Upadhyaya transform.
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