Fredholm type integral equation with special functions

Abstract

Recently Chaurasia and Gill [7], Chaurasia and Kumar [8] have solved the one-dimensional integral equation of Fredholm type involving the product of special functions. We solve an integral equation involving the product of a class of multivariable polynomials, the multivariable H-function defined by Srivastava and Panda [29, 30] and the multivariable I-function defined by Prasad [21] by the application of fractional calculus theory. The results obtained here are general in nature and capable of yielding a large number of results (known and new) scattered in the literature.

Fractional calculus pertaining to multivariable Aleph-function

“…Fractional calculus has many advance applications in different field of science and engineering, e.g. Quantum mechanics, Mathematical physics, Mathematical biology, Diffusion process, Mathematical modeling and many more (see, [3,4,10,14,17,18]).…”