Article citationsMore>>

Agarwal, R., Jain, S. and Agarwal, R.P. (2015) Solution of Fractional Volterra Integral Equation and Non-Homogeneous Time Fractional Heat Equation Using Integral Transform of Pathway Type. Progress in Fractional Differentiation and Applications, 1, 145-155.

has been cited by the following article:

• TITLE: Numerical Solution of Fractional Differential Equations

  AUTHORS: Adnan Daraghmeh, Naji Qatanani, Aya Saadeh

  KEYWORDS: Fractional Calculus, Fractional Differential Equations, Homotopy Perturbation Method, Matrix Approach Method

  JOURNAL NAME: Applied Mathematics, Vol.11 No.11, November 13, 2020

  ABSTRACT: In this article, two numerical techniques, namely, the homotopy perturbation and the matrix approach methods have been proposed and implemented to obtain an approximate solution of the linear fractional differential equation. To test the effectiveness of these methods, two numerical examples with known exact solution are illustrated. Numerical experiments show that the accuracy of these methods is in a good agreement with the exact solution. However, a comparison between these methods shows that the matrix approach method provides more accurate results.