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A new approximate analytical solution of fractional order nonlinear wave-like equations with variable coefficients
1 : Ferhat Abbas Sétif University 1,
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Website
Laboratory of Fundamental and Numerical Mathematics, Department of Mathematics, Faculty of Sciences, Ferhat Abbas Sétif University 1, 19000 Sétif, Algeria -
Algeria
In this work, we propose a new modified technique known as fractional Aboodh projected differential transform method (FAPDTM) to solve fractional order nonlinear wave-like equations with variable coefficients. The fractional derivative is described in the sense of Caputo. This method is the combination of two powerful methods : the Aboodh transform method and projected differential transform method. We obtain the solutions in the form of series which is rapidly converges to the exact solution. Three numerical examples are presented to illustrate the validity and applicability of our proposed technique.
