Existence of Solutions for Fractional Differential Inclusions with Initial Value Condition and Non-Instantaneous Impulses

被引：12
|
作者：
Luo, Danfeng [1 ]
Luo, Zhiguo [1 ]
机构：
[1] Hunan Normal Univ, Key Lab High Performance Comp & Stochast Informat, Minist Educ China, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China
来源：
FILOMAT | 2019年 / 33卷 / 17期
基金：
中国国家自然科学基金;
关键词：
psi-Hilfer fractional differential inclusions; Non-instantaneous impulses; Nonlinear alternative of Leray-Schauder type; Existence;
D O I：
10.2298/FIL1917499L
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we mainly consider the existence of solutions for a kind of psi-Hilfer fractional differential inclusions involving non-instantaneous impulses. Utilizing another nonlinear alternative of Leray-Schauder type, we present a new constructive result for the addressed system with the help of generalized Gronwall inequality and Lagrange mean-value theorem, and some achievements in the literature can be generalized and improved. As an application, a typical example is delineated to demonstrate the effectiveness of our theoretical results.
引用
收藏
页码：5499 / 5510
页数：12
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