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Switched coupled system of nonlinear impulsive Langevin equations with mixed derivatives
  • Rizwan Rizwan,
  • Akbar Zada,
  • Syed Omar Shah
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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Abstract

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.
2021Published in AIMS Mathematics volume 6 issue 12 on pages 13092-13118. 10.3934/math.2021757