Numerical Solutions of Multi-order Fractional Antiperiodic Boundary Value Problems

被引：0
作者：
HuiChol Choi
KumSong Jong
KyongSon Jon
YongSim Sin
机构：
[1] Kim Il Sung University,Faculty of Mathematics
[2] Northeast Normal University,Key Laboratory for Applied Statistics of MOE, School of Mathematics and Statistics
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2020年 / 44卷
关键词：
Multi-order fractional differential equation; Operational matrix method; Antiperiodic boundary condition; Integral boundary condition; Hat functions; Convergence analysis; 34A08; 34B10; 65L60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose the numerical scheme for solving nonlinear higher multi-order Caputo fractional differential equations with integral and antiperiodic boundary conditions, establish the existence of an approximate solution to our problem, and prove the convergence of our numerical method. The operational matrix of fractional integration based on hat functions is used to solve the given problem. Also, we present a numerical example to illustrate our main results.
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页码：1839 / 1851
页数：12
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