A new approach for solving a system of fractional partial differential equations

Authors:
H. Jafari;M. Nazari;D. Baleanu;C. M. Khalique
Affiliations:
International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, South Africa and Department of Mathematics and ...;Department of Mathematics and Computer Science, University of Mazandaran, Babolsar, Iran;Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box: 80204, Jeddah, 21589, Saudi Arabia and Department of Mathematics and Computer Science ...;International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, South Africa
Venue:
Computers & Mathematics with Applications
Year:
2013

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Abstract

In this paper we propose a new method for solving systems of linear and nonlinear fractional partial differential equations. This method is a combination of the Laplace transform method and the Iterative method and here after called the Iterative Laplace transform method. This method gives solutions without any discretization and restrictive assumptions. The method is free from round-off errors and as a result the numerical computations are reduced. The fractional derivative is described in the Caputo sense. Finally, numerical examples are presented to illustrate the preciseness and effectiveness of the new technique.