Numerical solutions for the space-fractional foam drainage equation

چکیده مقاله

In biochemistry and mathematical chemistry, several processes are represented by nonlinear evolution problems. In general, classical numerical methods are produced good approximations for the nonlinear evolution problems. In this paper, homotopy perturbation method (HPM) is applied for solving one of the evolution problems with name foam drainage equation with modified space-fractional derivative in the Caputo sense cite{sa}. The numerical results reveal that the proposed method is very effective and simple for handling fractional-order differential equations. end{abstract} {f Keywords:} Homotopy perturbation method; foam drainage equation; fractional differential equation; Caputo fractional derivative.