Intermediate value problems for fractional differential equations

被引：0
作者：
Guang Yang
Babak Shiri
Hua Kong
Guo-Cheng Wu
机构：
[1] Neijiang Normal University,Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science
来源：
Computational and Applied Mathematics | 2021年 / 40卷
关键词：
Terminal value problem; Fractional differential equations; Discrete collocation methods; Well-posedness; Piecewise polynomials spaces; 34A08; 45G05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Fractional differential equation approach is frequently used to describe long-term interactions in nonlinear systems. However, it results in difficulty in inverse problems as well as the numerical treatment. Numerical analysis of intermediate value problems and the well-posedness are investigated in this study. Two high order numerical methods for solving intermediate value problems are proposed. Convergence and sensitivity analysis are provided. A comparison is provided by a well-chosen example. The estimated order of the convergence shows the sharpness of our analysis.
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