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Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418

Research

Title
A Coupled Method to Solve Reaction-Diffusion- Convection Equation with the Time Fractional Derivative without Singular Kernel
Type
JournalPaper
Keywords
Fractional calculus, Caputo-Fabrizio fractional derivative, Laplace transform, differential transform method, reaction-diffusion-convection equation.
Year
2017
Journal Progress in Fractional Differentiation and Applications
DOI
Researchers Afshin Babaei ، Alireza Mohammadpour

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.