Open AccessUniqueness and Stability Results on Non-local Stochastic Random Impulsive Integro-Differential Equations
Author(s) -
S. Varshini,
K. Banupriya,
K. Ramkumar,
K. Ravikumar
Publication year - 2021
Publication title -
journal of mathematical analysis and modeling
Language(s) - English
Resource type - Journals
ISSN - 2709-5924
DOI - 10.48185/jmam.v2i3.346
Subject(s) - mathematics , uniqueness , fixed point theorem , picard–lindelöf theorem , banach space , fixed point , stability (learning theory) , banach fixed point theorem , comparison theorem , differential equation , stochastic differential equation , mathematical analysis , computer science , machine learning
The paper is concerned with stochastic random impulsive integro-differential equations with non-local conditions. The sufficient conditions guarantees uniqueness of mild solution derived using Banach fixed point theorem. Stability of the solution is derived by incorporating Banach fixed point theorem with certain inequality techniques.