Modified Comparison Theorems for Solutions of Caputo-Hadamard Fractional Differential Equations

被引：0

作者：

Liu, Yiyu ^{[1
]}

Zhu, Yuanguo ^{[1
]}

Lu, Zigrang ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Jiangsu, Peoples R China

[2] Nanjing Audit Univ, Sch Stat & Data Sci, Nanjing 211815, Jiangsu, Peoples R China

来源：

2022 7TH INTERNATIONAL CONFERENCE ON MATHEMATICS AND COMPUTERS IN SCIENCES AND INDUSTRY, MCSI | 2022年

关键词：

Caputo-Hadamard fractional derivative; Comparison theorem; Fractional differential equation;

D O I：

10.1109/MCSI55933.2022.00011

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we primarily focus on modifying comparison theorems with strict and nonstrict inequalities for Caputo-Hadamard fractional differential equations (FDEs). First, we point out that the proof of comparison theorem for Caputo-Hadamard FDEs in the paper (Fractals 2019, 27(3), 1950036) is incorrect. And then, we give a modified comparison theorem for solutions of Caputo-Hadamard FDEs of order p is an element of (0, 1) under strict inequalities, then extend order p to arbitrary positive-order. Finally, we present a modified comparison theorem with nonstrict inequalities for solutions of Caputo-Hadamard FDEs.

引用

页码：29 / 34

页数：6

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