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Commun. Korean Math. Soc. 2023; 38(1): 281-298
Online first article December 7, 2022 Printed January 31, 2023
https://doi.org/10.4134/CKMS.c210252
Copyright © The Korean Mathematical Society.
Numerical method for a system of Caputo fractional differential equations with non-local boundary conditions
S. Joe Christin Mary, Ayyadurai Tamilselvan
Bharathidasan University; Bharathidasan University
A class of systems of Caputo fractional differential equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a uniform mesh is proposed. Supremum norm is used to derive an error estimate which is of order $\kappa-1$, $1<\kappa<2$. Numerical examples are given which validate our theoretical results.
Keywords: System of Caputo fractional differential equation, integral boundary condition, maximum principle, finite difference scheme, error estimate
MSC numbers: 34A08, 35B50, 65L12, 65L20
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