HOMOTOPY ANALYSIS NATURAL TRANSFORM METHOD FOR SOLVING FRACTIONAL PHYSICAL MODELS

Homotopy perturbation method for solving fractional Bratu-type equation

In this paper, the homotopy perturbation method (HPM) is applied to obtain an approximate solution of the fractional Bratu-type equations. The convergence of the method is also studied. The fractional derivatives are described in the modied Riemann-Liouville sense. The results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional p...

Homotopy Analysis Method for Solving Fractional Diffusion Equation

In this letter, the powerful, easy-to-use and effective mathematical tool like Homotopy Analysis Method is used to solve the diffusion equation with fractional time derivative ) 1 0 (    . Using the initial condition, the approximate analytical solution of the problem is obtained. Choosing proper values of auxiliary and homotopy parameters, the convergence of the approximate series solution...

Homotopy Analysis Sumudu Transform Method for Nonlinear Equations

Solving Fractional Fornberg-whitham Equation by Homotopy Analysis Method

In this paper, The analytical solution of the nonlinear Fornberg-Whitham equation with fractional time derivative was derived by means of the homotopy analysis method. The fractional derivatives are described in the Caputo sense. By choosing different values of the parameters in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained. The results r...

Application of new iterative transform method and modified fractional homotopy analysis transform method for fractional Fornberg-Whitham equation

The main purpose of this paper is to present a new iterative transform method (NITM) and a modified fractional homotopy analysis transform method (MFHATM) for time-fractional Fornberg-Whitham equation. The numerical results show that the MFHATM and NITM are very efficient and highly accurate for nonlinear fractional differential equations. c ©2016 All rights reserved.