Note on certain methods of solving a class of integral equations of Fredholm type
Date
2010-04-06T21:56:19Z
Authors
Srivastava, H.M.
Raina, R. K.
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Abstract
The authors begin by presenting a brief survey of the various useful methods of solving certain integral equations of Fredholm type. In particular, they apply the reduction techniques with a view to inverting a class of generalized hypergeometric integral transforms. This is observed to lead to an interesting generalization of the work of E.R. Love [9]. The Mellin transform technique for solving a general Fredholm type integral equation with the familiar H-function in the kernel is also considered.
Description
Originally published October 1989. Revised June 1990.
Keywords
Fredholm type integral equations, reduction tecniques, integral transforms, Mellin transform techniques, Legendre functions, hypergeometric functions, fractional calculus, H-functions, Mellin-Barnes contour integrals, Riemann-Liouville fractional integrals, Weyl fractional integrals, Stieltjes transforms, Mellin inversion theorem