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Solution of Fractional Volterra Integral Equation and Non-Homogeneous Time Fractional Heat Equation using Integral Transform of Pathway Type |
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PP: 145-155 |
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Author(s) |
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Ritu Agarwal,
Sonal Jain,
R. P. Agarwal,
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Abstract |
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| 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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