Gronwall inequality and existence of solutions for differen-tial equations with generalized Hattaf fractional derivative

被引：13
|
作者：
Hattaf, Khalid [1 ,2 ]
Mohsen, Ahmed A. [3 ,4 ]
Al-Husseiny, Hassan F. [5 ]
机构：
[1] Ctr Reg Metiers Educ & Format CRMEF, Equipe Rech Modelisat & Enseignement Math ERMEM, Casablanca 20340, Morocco
[2] Hassan II Univ Casablanca, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955, Casablanca, Morocco
[3] Univ Baghdad, Coll Educ Pure Sci Ibn Al Haitham, Dept Math, Baghdad, Iraq
[4] Minist Educ, Rusafa 1, Baghdad, Iraq
[5] Univ Baghdad, Coll Sci, Dept Math, Baghdad, Iraq
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2022年 / 27卷 / 01期
关键词：
Gronwall inequality; Hattaf fractional derivative; fractional differential equation; Ulam-Hyers stability; OPERATORS;
D O I：
10.22436/jmcs.027.01.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The classical Gronwall inequality is one of the basic tools in the theory of differential and integral equations. In this paper, a new version of this inequality is presented and extended to differential equations with the generalized Hattaf fractional derivative involving non-singular kernel. The existence and uniqueness of solutions for such last type of fractional differential equations are rigorously investigated. Furthermore, an application is presented to study the Ulam-Hyers stability of certain equations.
引用
收藏
页码：18 / 27
页数：10
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