An application of the Laplace-Carson transform method for the solution of the generalized Abel’s integral equation ∗

Sudhanshu Aggarwal; Lalit Mohan Upadhyaya

doi:10.48165/

Authors

Sudhanshu Aggarwal Department of Mathematics, National Post Graduate College, Barhalganj, Gorakhpur-273402, Uttar Pradesh, India.
Lalit Mohan Upadhyaya Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, Uttarakhand-248179, India.

DOI:

https://doi.org/10.48165/

Keywords:

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

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 an alytical solution of many problems of engineering, physical sciences, and space science, etc. In this paper we determine the analytical primitive (solution) of a generalized Abel’s 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.

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