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Title
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A Coupled Method to Solve Reaction-Diffusion- Convection Equation with the Time Fractional Derivative without Singular Kernel
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Type
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JournalPaper
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Keywords
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Fractional calculus, Caputo-Fabrizio fractional derivative, Laplace transform, differential transform method, reaction-diffusion-convection equation.
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Abstract
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In this work, we find the solution of a class of time fractional reaction-diffusion-convection equations. The time fractional derivatives are described in a new definition of fractional derivative without singular kernel which has been recently introduced by Caputo and Fabrizio. For obtaining the solution, we apply an approach based on a combination of the Laplace transform and the differential transform. Finally, some test problems are discussed to show ability and utility of the proposed method.
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Researchers
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Alireza Mohammadpour (Second Researcher), Afshin Babaei (First Researcher)
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