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On certain methods of solving a class of integral equations of Fredholm type

Part of: Fredholm integral equations Integral transforms, operational calculus

Published online by Cambridge University Press:  09 April 2009

H. M. Srivastava  and
R. K. Raina
H. M. Srivastava
Affiliation:
Department of Mathematics and StatisticsUniversity of VictoriaVictoria, British Columbia V8W 3P4, Canada
R. K. Raina
Affiliation:
Department of Mathematics College of Technology and Agricultural Engineering (Rajasthan Agricultural University) Udaipur-313001, Rajasthan, India
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Abstract

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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.

Keywords

Fredholm type integral equationsreduction techniquesintegral transformsMellin transform techniquesLegendre functionshypergeometric functionsfractional calculusH-functionsMellin-Barnes contour integralsRiemann-Liouville fractional integralsWeyl fractional integralsStieltjes transformsMellin inversion theorem

MSC classification

Secondary: 45B05: Fredholm integral equations 44A20: Transforms of special functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 52 , Issue 1 , February 1992 , pp. 1 - 10
Copyright
Copyright © Australian Mathematical Society 1992

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