1Department of Mathematics, National Post Graduate College, Barhalganj, Gorakhpur-273402, Uttar Pradesh, India.
2Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, Uttarakhand-248179, India.
†Corresponding author Sudhanshu Aggarwal, E-mail:sudhanshu30187@gmail.com
2. E-mail: lmupadhyay@rediffmail.com, hetchres@gmail.com
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 Abel’s integral equation by employing the Laplace-Carson transform method. For the purpose of the applicability of this method we illustrate fve numerical problems which are solved with the help of the Lapalce-Carson transform method.
Laplace-Carson transform, Inverse Laplace-Carson transform, Generalized Abel integral equation, Upadhyaya transform
