On Caputo-Hadamard fractional differential equations

被引：64

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

页码：1459 / 1483

页数：25

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