Extension of Integral Equations of Fredholm Type Involving Special Functions

Integral equations occur naturally in many fields of mechanics and mathematical physics. But specially Fredholm integral equations arise naturally in the theory of signal processing, most notably as the spectral concentration problem. They also commonly arise in linear forward modeling and inverse problems. In view of the great importance of integral equations, in this paper we establish a solution of a certain class of integral equation of Fredholm type whose kernel involve certain product of special function by using Riemann-Liouville and Weyl fractional integral operators. The results obtained here are general in nature and capable of yielding a large number of results hitherto scattered in the literature.