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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Solution of Nonlinear Fractional Differential Equations q-Homotpy Transformation Method

Discontinuity, Nonlinearity, and Complexity 12(2) (2023) 329--340 | DOI:10.5890/DNC.2023.06.008

$^{1}$ Department of Mathematics, AMITY School of Applied Sciences, AMITY University Rajasthan, Jaipur, 302002, India

$^{2}$ Department of mathematics, Faculty of Computer Science and Mathematics, University of Thi-Qar, Iraq

$^{3}$ School of Liberal Studies, Dr. B. R. Ambedkar University Delhi, Delhi-110006

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Abstract

In this article, q-homotopy analysis transformation method (q-HATM) has been applied to solve {fractional partial differential equations}. {The} q-HATM is a well known method, which is the outcome of {the} conjunction of q- Homotopy analysis method and Laplace transform. Which provides the solution of such problems in a very easy manner. In our analysis, we derive the approximate analytical results of the non-linear fractional differential equation. And it shows that this method is more likely to converge for a series solution.

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