Article
Kyungpook Mathematical Journal 2021; 61(2): 383-393
Published online June 30, 2021
Copyright © Kyungpook Mathematical Journal.
Numerical Solutions of Fractional Differential Equations with Variable Coecients by Taylor Basis Functions
Athassawat Kammanee
Applied Analysis Research Unit, Division of Computational Science, Faculty of Science,Prince of Songkla University, Hat Yai, Songkhla 90110 Thailand Centre of Excellence in Mathematics, CHE, 328 Si Ayutthaya Road, Phayathai, Ratchathewi, Bangkok, 10400, Thailand
e-mail : athassawat.k@psu.ac.th
Received: January 31, 2020; Accepted: September 8, 2020
In this paper, numerical techniques are presented for solving initial value problems of fractional differential equations with variable coefficients. The method is derived by applying a Taylor vector approximation. Moreover, the operational matrix of fractional integration of a Taylor vector is provided in order to transform the continuous equations into a system of algebraic equations. Furthermore, numerical examples demonstrate that this method is applicable and accurate.
Keywords: Taylor series, fractional differential equation, variable coefficient, numerical solution