Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay-Reference-Cited by-同舟云学术

Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay

Published:2019-06-26 Issue:01 Volume:20 Page:2050003
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Ma Xiao¹,Shu Xiao-Bao¹,Mao Jianzhong²

Affiliation:

1. Department of Mathematics, Hunan University, Changsha 410082, P. R. China

2. Department of Mechanical and Transport Engineering, Hunan University, Changsha 410082, P. R. China

Abstract

In this paper, we investigate the existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay in Hilbert space. The main conclusion is obtained by using fractional calculus, operator semigroup and fixed point theorem. In the end, we give an example to illustrate our main results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493720500033

Reference44 articles.

1. Almost periodic solutions of neutral functional differential equations

2. Existence of solutions for impulsive integral boundary value problems of fractional order

3. A study of an impulsive four-point nonlocal boundary value problem of nonlinear fractional differential equations

4. Almost automorphic mild solutions to fractional differential equations

5. Existence of almost periodic solutions to some stochastic differential equations

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