Attractivity of implicit differential equations with composite fractional derivative

被引：1
|
作者：
Vivek, Devaraj [3 ]
Elsayed, Elsayed M. [1 ,2 ]
Kanagarajan, Kuppusamy [4 ]
机构：
[1] King AbdulAziz Univ, Fac Sci, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[3] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, Tamil Nadu, India
[4] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2023年 / 30卷 / 01期
关键词：
Riemann-Liouville fractional integral; Hilfer fractional derivative; existence; fixed point; asymptotic stability; INITIAL-VALUE PROBLEMS; EXISTENCE;
D O I：
10.1515/gmj-2022-2200
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence and attractivity of solutions for an implicit differential equation with composite fractional derivative. By means of Schauder's fixed point theorem, sufficient conditions for the main results are investigated. An example is presented to illustrate our theory
引用
收藏
页码：151 / 158
页数：8
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