Solution of a certain multiple integral equation

Date

2009-08-14T23:49:03Z

Authors

Srivastava, H.M.
Raina, R. K.

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Abstract

An explicit solution is derived formally for a certain multiple integral equation involving a multidimensional fractional integral of Riemann-Liouville type. The main inversion theorem proved here provides a generalization due to W.L. Wainwright [3]. A simple illustration of the theorem, involving the classical Laguerre function, is also presented.

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Keywords

integral equation, fractional integrals, Laguerre functions, fractional calculus, Laplace transforms, Fourier transforms

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