Controllability of nonlocal impulsive neutral stochastic integro-differential systems driven by a Rosenblatt process with infinite delay

Authors

  • Youssef Benkabdi national school of applied sciences Cadi Ayyad university
  • El Hassan Lakhel Cadi Ayyad University, National School of Applied Sciences, 46000 Safi, Morocco.

Abstract

The purpose of this paper is to establish a set of sufficient conditions for the controllability of a class of nonlocal impulsive
neutral stochastic integro-differential systems perturbed by a Rosenblatt process in a separable Hilbert space with infinite delay.
We obtain our result using stochastic analysis and a fixed-point technique. Lastly, an example is provided to show the validity of
the obtained results.

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Published

2024-08-29

Issue

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

Section

Articles

License

Copyright (c) 2024 Youssef Benkabdi, El Hassan Lakhel

Creative Commons License

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

How to Cite

Controllability of nonlocal impulsive neutral stochastic integro-differential systems driven by a Rosenblatt process with infinite delay. (2024). Nonlinear Studies, 31(3), 897-911. https://nonlinearstudies.com/index.php/nonlinear/article/view/2992