Application of He’s Homotopy Perturbation Method to Fractional Diffusion Equations

In this article, the homotopy perturbation method is used to solve the time-fractional gas dynamics equa- tion with coupling of Laplace transform and He’s poly- nomials.. Using

Analysis of Fractional Nonlinear Differential Equations Using the Homotopy Perturbation Method.. Mehmet Ali Balcı and

The homotopyperturbation method is used to find an approximate analytic solution of the problem involving a space-time fractional diffusion equation with a moving boundary.

In this paper, HPM has been successfully applied to obtain the approximate analytical solutions of the space-time fractional diffusion equation governing the process of a solute

In addition, in recent years, scientists have presented some new methods for solving nonlinear partial dif- ferential equations; for instance, the B¨acklund trans- formation method

In this paper, the approximate analytical solutions of a general diffusion equation with fractional time derivative in the presence of a linear external force are obtained with the

In this paper, we present an efficient modification of the homotopy perturbation method by using Chebyshev’s polynomials and He’s polynomials to solve some nonlinear

In this work, we successfully apply He’s homotopy perturbation method in combination with Chebyshev’s polynomials to solve the differential equations with source term for which