Study of 1+1 dimensional fractional order non-linear Benney equation using an analytical technique - Al Ain University(AAU) - One of the Best Universities in UAE

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Study of 1+1 dimensional fractional order non-linear Benney equation ...

Article

Study of 1+1 dimensional fractional order non-linear Benney equation using an analytical technique

Sep 18, 2024

DOI: 10.1016/j.padiff.2024.100823

Published in: Partial Differential Equations in Applied Mathematics

Abstract

The area related to fractional order partial differential equations (FOPDEs) has also attracted attention. Therefore, we focuss our attention to study nonlinear Benney equations of using power law type Caputo derivative of fractional order. To compute a series-type solution for the problem under consideration, we combine the Adomian approach with the Laplace transform. Our findings are supported by graphical representations and numerical interpretations, illustrating the applicability and insights gained from this approach in solving complex real-world problems.

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