EXISTENCE AND HYERS-ULAM STABILITY RESULTS FOR A CLASS OF FRACTIONAL ORDER DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES

被引:37
作者
Luo, Danfeng [1 ]
Luo, Zhiguo [2 ]
机构
[1] Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China
[2] Hunan Normal Univ, Sch Math & Stat, Minist Educ, Key Lab Comp & Stochast Math, Changsha 410081, Peoples R China
基金
中国国家自然科学基金;
关键词
fractional differential equation; existence; Hyers-Ulam stability; time-varying delays; non-instantaneous impulses; P-LAPLACIAN; RASSIAS STABILITY; SYSTEMS;
D O I
10.1515/ms-2017-0427
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a class of fractional differential equations involving time-varying delays and non -instantaneous impulses. By the Krasnoselskii's fixed point theorem, we present the new constructive existence results for the addressed equation. In addition, we deduce that the equations have Hyers-Ulam stable solutions by utilizing generalized Griinwall's inequality. Some results in this literature are new and improve some early conclusions. (C) 2020 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码:1231 / 1248
页数:18
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