NUMERICAL METHOD FOR A SYSTEM OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS

被引：0

作者：

Mary, S. Joe Christin ^{[1
]}

Tamilselvan, Ayyadurai ^{[1
]}

机构：

[1] Bharathidasan Univ, Dept Math, Tiruchirapalli 620024, Tamilnadu, India

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 01期

关键词：

System of Caputo fractional differential equation; integral bound-ary condition; maximum principle; finite difference scheme; error estimate;

D O I：

10.4134/CKMS.c210252

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. Supre-mum 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.

引用

页码：281 / 298

页数：18

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