International Journal of Mathematics and Mathematical Sciences
Volume 2013 (2013), Article ID 421378, 8 pages
Research Article

Using Homo-Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations

Division of Informatics, Logistics and Management, School of Technology and Health (STH), Royal Institute of Technology (KTH), 100 44 Stockholm, Sweden

Received 18 March 2013; Accepted 24 May 2013

Academic Editor: Irena Lasiecka

Copyright © 2013 Abdolamir Karbalaie et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new method proposed and coined by the authors as the homo-separation of variables method is utilized to solve systems of linear and nonlinear fractional partial differential equations (FPDEs). The new method is a combination of two well-established mathematical methods, namely, the homotopy perturbation method (HPM) and the separation of variables method. When compared to existing analytical and numerical methods, the method resulting from our approach shows that it is capable of simplifying the target problem at hand and reducing the computational load that is required to solve it, considerably. The efficiency and usefulness of this new general-purpose method is verified by several examples, where different systems of linear and nonlinear FPDEs are solved.