TY - JOUR
T1 - On Nonlocal Neutral Stochastic Integro Differential Equations with Impulsive Random
AU - Maqbol , Sahar M. A.
AU - Jain , R. S.
AU - Reddy , B. S.
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 1200
EP - 1215
PY - 2024
DA - 2024/12
SN - 6
DO - http://doi.org/10.12150/jnma.2024.1200
UR - https://global-sci.org/intro/article_detail/jnma/23680.html
KW - Existence, continuous dependence, random impulsive, integro differential equations, Krasnoselskii's-Schaefer type fixed point theorem.
AB - <p style="text-align: justify;">In this work, we discuss the existence and continuous dependence
on initial data of solutions for non-local random impulsive neutral stochastic
integrodifferential delayed equations. First, we prove the existence of mild
solutions to the equations by using Krasnoselskii&#39;s-Schaefer type fixed point
theorem. Next, we prove the continuous dependence on initial data results
under the Lipschitz condition on a bounded and closed interval. Finally, we
propose an example to validate the obtained results.</p>