On Caputo-Hadamard fractional differential equations

被引：56
|
作者：
Gohar, Madiha [1 ]
Li, Changpin [1 ]
Yin, Chuntao [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2020年 / 97卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Caputo-Hadamard derivative; fractional differential equation; existence and uniqueness; continuation theorem; Euler method; predictor-corrector method; INTEGRALS; CALCULUS;
D O I：
10.1080/00207160.2019.1626012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the existence and uniqueness of solution to Caputo-Hadamard fractional differential equation (FDE) are studied. The continuation theorem is established too. Then, Euler and predictor-corrector methods are built up to solve Caputo-Hadamard FDE. The stability and error analysis of the derived numerical schemes are investigated as well. At last, a numerical example is carried out to verify the numerical algorithm.
引用
收藏
页码：1459 / 1483
页数：25
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