Non-homogenous KdV and coupled sub-ballistic fractional PDEs

Abstract

In this article, the author solved certain system of time fractional equations using integral transforms. Transform method is a powerful tool for solving singular integral equations, evaluation of certain integrals and solution to partial fractional differential equations. The result reveals that the transform method is very convenient and effective.

Keywords

• Caputo fractional derivative,nonhomogeneous time fractional heat equation,Laplace transform,Fourier transform

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