General fractional interval-valued differential equations and Gronwall inequalities

被引：2

作者：

Fan, Qin ^{[1
,2
]}

Huang, Lan-Lan ^{[2
]}

Wu, Guo-Cheng ^{[2
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China

[2] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China

来源：

SOFT COMPUTING | 2023年 / 27卷 / 12期

基金：

中国国家自然科学基金;

关键词：

General fractional calculus; Interval-valued function; Gronwall inequality; Interval-valued analysis; CALCULUS; EXISTENCE;

D O I：

10.1007/s00500-023-08046-7

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Interval-valued systems with the general fractional derivative are defined on closed intervals on the real line R. Function spaces of the fractional integrals and derivatives are discussed. Then some fundamental theorems of the Caputo and Riemann-Liouville derivatives are provided, respectively. Finally, the interval-valued Gronwall inequalities are presented as one application.

引用

页码：7739 / 7749

页数：11

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