"A Coupled Method to Solve Reaction-DiffusionConvection Equation with t" by Afshin Babaei and Alireza Mohammadpour

Progress in Fractional Differentiation & Applications

Article Title

A Coupled Method to Solve Reaction-DiffusionConvection Equation with the Time Fractional Derivative without Singular Kernel

Authors

Afshin Babaei, Department of Mathematics, University of Mazandaran, P.O. Box: 47416-95447, Babolsar, IranFollow
Alireza Mohammadpour

Author Country (or Countries)

Iran

Abstract

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.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/030303

Recommended Citation

Babaei, Afshin and Mohammadpour, Alireza (2017) "A Coupled Method to Solve Reaction-DiffusionConvection Equation with the Time Fractional Derivative without Singular Kernel," Progress in Fractional Differentiation & Applications: Vol. 3: Iss. 3, Article 3.
DOI: http://dx.doi.org/10.18576/pfda/030303
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol3/iss3/3

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