On existence results for impulsive fractional neutral stochastic integro-differential equations with nonlocal and state-dependent delay conditions

Advances in Difference Equations

Dumitru Baleanu¹  Palaniyappan Kalamani²  Mani Mallika Arjunan²  Siva Selvarasu² 

[1] Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey;Department of Mathematics, C. B. M. College, Coimbatore, India

关键词: fractional differential equations;    stochastic differential system;    non-local condition;    state-dependent delay;    fixed point theorem;    semigroup theory;    65C30;    26A33;    34A08;   

DOI  :  10.1186/s13662-016-0885-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This manuscript deals with a new set of sufficient conditions for the existence of solutions for a class of impulsive fractional neutral stochastic integro-differential systems (IFNSIDS) with nonlocal conditions (NLCs) and state-dependent delay (SDD) in Hilbert spaces. An example is provided to illustrate the obtained theory.

【 授权许可】

CC BY