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Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions
Published online by Cambridge University Press: 17 February 2009
Abstract
This paper is devoted to the study of the solvability of certain one-and multidimensional Abel-type integral equations involving the Gauss hypergeometric function as their kernels in the space of summable functions. The multidimensional equations are considered over certain pyramidal domains and the results obtained are used to present the multidimensional pyramidal analogues of generalized fractional calculus operators and their properties.
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- Copyright © Australian Mathematical Society 2001
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