On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers' Equation

Hassan Eltayeb; Imed Bachar; Adem Kilicman

doi:10.20944/preprints201901.0122.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 10 January 2019 / Approved: 14 January 2019 / Online: 14 January 2019 (07:04:49 CET)

This article deals with the conformable double Laplace transforms and their some properties with examples and also the existence Condition for the conformable double Laplace transform is studied. Finally, in order to obtain the solution of nonlinear fractional problems, we present a modified conformable double Laplace that we call conformable double Laplace decomposition methods (CDLDM). Then, we apply it to solve, Regular and singular conformable fractional coupled burgers equation illustrate the effectiveness of our method some examples are given.

conformable fractional derivative; conformable partial fractional derivative; conformable double Laplace decomposition method; conformable Laplace transform; Singular one dimensional coupled Burgers equations

Computer Science and Mathematics, Applied Mathematics

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On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers' Equation

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