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