SOME NEW GRONWALL-BIHARI TYPE INEQUALITIES ASSOCIATED WITH GENERALIZED FRACTIONAL OPERATORS AND APPLICATIONS

被引：1

作者：

Ayari, Amira ^{[1
]}

Boukerrioua, Khaled ^{[1
]}

机构：

[1] Univ Badji Mokhtar, Lanos Lab, Annaba, Algeria

来源：

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2022年 / 26卷 / 551期

关键词：

Gronwall-type inequality; Cauchy problem; mean value theo-rem; generalized fractional operators; GAMIDOV INTEGRAL-INEQUALITIES; EXPLICIT BOUNDS; DERIVATIVES;

D O I：

10.21857/ygjwrcpxdy

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive some generalizations of certain Gronwall-Bihari type inequality for generalized fractional operators uni-fying Riemann-Liouville and Hadamard fractional operators for functions in one variable, which provide explicit bounds on unknown functions.To show the feasibility of the obtained inequalities, two illustrative examples are also introduced.

引用

页码：127 / 138

页数：12

共 23 条

[1] On Generalized Fractional Operators and a Gronwall Type Inequality with Applications [J].