Open AccessSwitched coupled system of nonlinear impulsive Langevin equations with mixed derivatives
Author(s) -
Rizwan Rizwan,
Jung Rye Lee,
Choonkil Park,
Akbar Zada
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021757
Subject(s) - uniqueness , nonlinear system , mathematics , fixed point theorem , stability (learning theory) , space (punctuation) , fixed point , mathematical analysis , physics , computer science , quantum mechanics , machine learning , operating system
In this paper, we consider switched coupled system of nonlinear impulsive Langevin equations with mixed derivatives. Some sufficient conditions are constructed to observe the existence, uniqueness and generalized Ulam-Hyers-Rassias stability of our proposed model, with the help of generalized Diaz-Margolis's fixed point approach, over generalized complete metric space. We give an example which supports our main result.