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Existence theory and stability analysis of switched coupled system of nonlinear implicit impulsive Langevin equations with mixed derivatives
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  • Rizwan Rizwan,
  • Akbar Zada,
  • Syed Omar Shah,
  • Manzoor Ahmad
Rizwan Rizwan
University of Peshawar
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Akbar Zada
University of Peshawar
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Syed Omar Shah
Qurtuba University of Sciences and Information Technology - Peshawar Campus
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Manzoor Ahmad
University of Peshawar
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Abstract

In this paper, we consider switched coupled system of nonlinear implicit 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.

Peer review status:Published

02 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
04 Sep 2020Submission Checks Completed
04 Sep 2020Assigned to Editor
14 Sep 2020Reviewer(s) Assigned
14 Dec 2020Review(s) Completed, Editorial Evaluation Pending
25 Jan 2021Editorial Decision: Revise Minor
29 Jan 20211st Revision Received
30 Jan 2021Submission Checks Completed
30 Jan 2021Assigned to Editor
30 Jan 2021Editorial Decision: Accept
18 Mar 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7324