Existence and exponential stability of special random impulsive stochastic fractional differential equations

Authors

  • D. Keerthana Department of Mathematics with Computer Applications,\\ PSG College of Arts \& Science, Coimbatore 641 014, India.
  • K. Banupriya Department of Mathematics with Computer Applications,\\ PSG College of Arts \& Science, Coimbatore 641 014, India.
  • K. Ramkumar Department of Mathematics with Computer Applications,\\ PSG College of Arts \& Science, Coimbatore 641 014, India.

Abstract

The main motive of this manuscript is to derive a special random impulsive stochastic fractional differential equations which
are Caputo type derivative. Furthermore, we examine the existence of the mild solution of the system by applying the Leray-Schauder
fixed point theorem. Moreover, we will focus on the exponential stability of the aforementioned system.

 

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Published

2024-08-29

Issue

Vol. 31 No. 3 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 D. Keerthana, K. Banupriya, K. Ramkumar

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Existence and exponential stability of special random impulsive stochastic fractional differential equations. (2024). Nonlinear Studies, 31(3), 875-896. https://nonlinearstudies.com/index.php/nonlinear/article/view/3329