Discontinuity, Nonlinearity, and Complexity
Solution of Nonlinear Fractional Differential Equations qHomotpy Transformation Method
Discontinuity, Nonlinearity, and Complexity 12(2) (2023) 329340  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 ThiQar, Iraq
$^{3}$ School of Liberal Studies, Dr. B. R. Ambedkar University Delhi, Delhi110006
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Abstract
In this article, qhomotopy analysis transformation method (qHATM) has been applied to solve {fractional partial differential equations}. {The} qHATM 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 nonlinear fractional differential equation. And it shows that this method is more likely to converge for a series solution.
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