Anuj Transform For The Closed Form Solution Of Generalized Abel’s Integral Equation Of Second Kind

Abstract

Abel’s integral equations have numerous applications in mathematical physics, chemical kinetics, potential theory, crystal growth, electrostatics, astrophysics, and stereology. In this paper, the Anuj transform for the closed form solution of the generalized Abel’s integral equation of the second kind (GAIESK) is discussed by the authors. Several examples of GAIESK are considered for demonstrating the reliability of the Anuj transform. The outcomes of these examples support the reliability and efficiency of the present scheme. It is also visualized from the outcomes that the Anuj transform provides the closed form solution of our study’s problem without the need for complicated calculation work.