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http://dx.doi.org/10.5666/KMJ.2021.61.2.383

Numerical Solutions of Fractional Differential Equations with Variable Coefficients by Taylor Basis Functions  

Kammanee, Athassawat (Applied Analysis Research Unit, Division of Computational Science, Faculty of Science,Prince of Songkla University, Centre of Excellence in Mathematics, CHE)
Publication Information
Kyungpook Mathematical Journal / v.61, no.2, 2021 , pp. 383-393 More about this Journal
Abstract
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;
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