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A Coupled Method to Solve Reaction-DiffusionConvection Equation with the Time Fractional Derivative without Singular Kernel |
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PP: 199-205 |
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doi:10.18576/pfda/030303
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Author(s) |
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Afshin Babaei,
Alireza Mohammadpour,
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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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