Article citationsMore>>

Sakar, M.G. and Erdogan, F. (2013) The Homotopy Analysis Method for Solving the Time-Fractional Fornberg-Whitham Equation and Comparison with Adomian’s Decomposition Method. Applied Mathematical Modelling, 37, 8876-8885.
https://doi.org/10.1016/j.apm.2013.03.074

has been cited by the following article:

• TITLE: Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations

  AUTHORS: Thilagarajah Mathanaranjan, Dayalini Vijayakumar

  KEYWORDS: Fractional Derivative, Fractional Fornberg-Whitham Equation, Laplace Transformation, Adomian Decomposition Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.2, February 25, 2021

  ABSTRACT: In this study, the closed form of series solutions of the original and modified nonlinear time-fractional Fornberg-Whitham equations are derived by means of the Laplace decomposition method (LDM). The fractional order derivatives are expressed in the sense of Caputo. For the specific choice of parameters, the obtained solutions are compared with the exact solutions to validate the accuracy of this method. Numerical solutions are represented graphically which illustrate the behavior of the solutions. Further, the computations express that the above method is straightforward, and it desires the smaller size of computation.