# ANALYTICAL APPROXIMATE SOLUTION FOR NONLINEAR SPACE-TIME FRACTIONAL CAHN-HILLIARD EQUATION

 Title ANALYTICAL APPROXIMATE SOLUTION FOR NONLINEAR SPACE-TIME FRACTIONAL CAHN-HILLIARD EQUATION Publication Type Journal Article Year of Publication 2014 Authors Mohamed, MS, Mekheimer, KS Journal International Electronic Journal of Pure and Applied Mathematic Volume 7 Issue 4 Start Page 145 Date Published 05/2014 ISSN 1314-0744 Keywords Cahn-Hilliard equation, Caputo fractional derivative, homotopy analysis method, space-time fractional derivatives Abstract The fractional derivatives in the sense of Caputo and the homotopy analysis method are used to construct an approximate solution for the nonlinear space-time fractional derivatives Cahn-Hilliard equation. The numerical results show that the approaches are easy to implement and accurate when applied to the nonlinear space-time fractional derivatives Cahn-Hilliard equation. This method introduces a promising tool for solving many space-time fractional partial differential equations. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equat. The HAM contains a certain auxiliary parameter $h$ which provides us with a simple way to adjust and control the convergence region and rate of convergence of the series solution. URL http://www.e.ijpam.eu/contents/articles/201400704001.pdf DOI 10.12732/iejpam.v7i4.1 Short Title ANALYTICAL APPROXIMATE SOLUTION FOR NONLINEAR... Refereed Designation Refereed