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
收藏
页码：29 / 34
页数：6
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