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Solution of fractional order heat equation via triple Laplace transform in 2 dimensions

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In this article, we introduce the triple Laplace transform for the solution of a class of fractional order partial differential equations. As a consequence, fractional order homogeneous heat equation in… Click to show full abstract

In this article, we introduce the triple Laplace transform for the solution of a class of fractional order partial differential equations. As a consequence, fractional order homogeneous heat equation in 2 dimensions is investigated in detail. The corresponding solution is obtained by using the aforementioned triple Laplace transform, which is the generalization of double Laplace transform. Numerical plots to the concerned solutions are provided to demonstrate our results.

Keywords: fractional order; triple laplace; laplace transform; laplace

Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017

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