Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses

被引：49
作者：
Rizwan, Rizwan [1 ]
Zada, Akbar [1 ]
Wang, Xiaoming [2 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar, Pakistan
[2] Shangrao Normal Univ, Sch Math & Comp Sci, Shangrao, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期
关键词：
Implicit Langevin equation; Caputo derivative; noninstantaneous impulses; Ulam-Hyers-Rassias stability; HYERS-ULAM STABILITY; DIFFERENTIAL-EQUATIONS; DELAY;
D O I：
10.1186/s13662-019-1955-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a nonlocal boundary value problem of nonlinear implicit fractional Langevin equation with noninstantaneous impulses. We study the existence, uniqueness and generalized Ulam-Hyers-Rassias stability of the proposed model with the help of fixed point approach, over generalized complete metric space. We give an example which supports our main result.
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页数：31
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