A NumericÃ¢ÂÂAnalytic Method for Fractional Order Nonlinear PDEÃ¢ÂÂs With Modified Riemann-Liouville Derivative by Means of Fractional Variational Iteration Method
Gümüshane University, Department of Mathematics Engineering, 29100-Gümüshane, Turkey
- *Corresponding Author:
- Mehmet Merdan
Department of Mathematics Engineering
E-mail: [email protected]
Received Date: May 16, 2012; Accepted Date: June 11, 2012; Published Date: June 15, 2012
Citation: Merdan M (2012) A Numeric–Analytic Method for Fractional Order Nonlinear PDE’s With Modified Riemann-Liouville Derivative by Means of Fractional Variational Iteration Method. J Appl Computat Math 1:113. doi:10.4172/2168-9679.1000113
Copyright: © 2012 Merdan M. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
In this article, an approximate analytical solution of fractional order nonlinear PDE’s with modified Riemann- Liouville derivative was obtained with the help of fractional variational iteration method (FVIM). It is showed that the solutions obtained by the FVIM are reliable and effective method for strongly nonlinear partial equations with modified Riemann-Liouville derivative. The solutions of our model equation can also be obtained from the known forms of the series solutions.