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Author Country (or Countries)

India

Abstract

The aim of the present paper is to obtain the solution of certain integral equations by using Pa -transform. The concept of Pa -transform is introduced by Kumar [11]. The Pa -transform is binomial type containing many classes of transforms including the Laplace transform. We have found the solution of fractional Volterra equation with Caputo fractional derivative using Pa -transform. Also the solution of non-homogeneous time fractional heat equation in spherical domain with Caputo derivative has been found. The results for the classical Laplace transform are retrieved by letting a →1.

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