Transformations And Solutions of Integral Equation Involving Bessel Maitland Function

Abstract

In this paper, we have solved integral equation involving Bessel Maitland function. In case of single kernel the equations have been transform by using Erdélyi-Kober operators to one having Fox’s H-function while the equations having summation of two or more Bessel Maitland functions have been transformed into a summation of two or more H-functions as kernel. In first case the solutions are expressed in terms of H-function while in second, the solutions are in terms of Saxena’s I-function. The particular case is also obtained.