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

Advances in Difference Equations

Haibo Bao¹  Jinde Cao² 

[1] School of Mathematics and Statistics, Southwest University, Chongqing, China;School of Mathematics, Southeast University, Nanjing, China

关键词: fractional stochastic functional differential equations;    existence;    neutral;    impulsive;    infinite delay;    fixed point theorem;   

DOI  :  10.1186/s13662-017-1106-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper addresses a class of fractional stochastic impulsive neutral functional differential equations with infinite delay which arise from many practical applications such as viscoelasticity and electrochemistry. Using fractional calculations, fixed point theorems and the stochastic analysis technique, sufficient conditions are derived to ensure the existence of solutions. An example is provided to prove the main result.

【 授权许可】

CC BY