2012•Unpublished venueRequires access

On the Solutions of Integral Equations of Fredholm type with Special Functions

V. B. L. Chaurasia, Devendra Kumar

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Abstract

In the present paper, we study the various useful methods of solving the one-dimensional integral equation of Fredholm type. We first solve an integral equation involving the product of multivariable Hfunction by the application of fractional calculus theory. Further the Fredholm integral equation involving the product of I-functions in the kernel is also considered by the Mellin transform techniques. The results obtained here are general in nature and capable of yielding a large number of results (new or known) hitherto scattered in the literature.

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What this paper is about

In the present paper, we study the various useful methods of solving the one-dimensional integral equation of Fredholm type. We first solve an integral equation involving the product of multivariable Hfunction by the application of fractional calculus theory. Further the Fredholm integral equation involving the product of I-functions in the kernel is also considered by the Mellin transform techniques. The results obtained here are general in nature and capable of yielding a large number of results (new or known) hitherto scattered in the literature.

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Available abstract

In the present paper, we study the various useful methods of solving the one-dimensional integral equation of Fredholm type. We first solve an integral equation involving the product of multivariable Hfunction by the application of fractional calculus theory. Further the Fredholm integral equation involving the product of I-functions in the kernel is also considered by the Mellin transform techniques. The results obtained here are general in nature and capable of yielding a large number of results (new or known) hitherto scattered in the literature.

Key concepts: Fredholm integral equation, Fredholm theory, Integral equation, Integral transform, Mathematics, Kernel (algebra), Type (biology), Summation equation

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