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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:UNDER REVIEW

02 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
04 Sep 2020Assigned to Editor
04 Sep 2020Submission Checks Completed
14 Sep 2020Reviewer(s) Assigned