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

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.