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.