Research Communication | Open Access
Volume 2021 | Communication ID 109
Volume 2021 | Communication ID 109
| Approximate controllability of fractional neutral stochastic functional differential equations driven by Rosenblatt process with infinite delay |
Ahmed Lahmoudi, El Hassan Lakhel
Received |
Accepted |
Published |
January 28, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: The concept of controllability plays an important role in analysis and design of linear and nonlinear control systems. Further, fractional differential equations have wide applications in engineering and science. In this paper we examine the approximate controllability of fractional neutral stochastic functional differential equations with infinite delay driven by Rosenblatt process in a real separable Hilbert space. By using the H¨older inequality, Krasnoselskii’s fixed point theorem with stochastic analysis theory, we derive a new set of necessary and sufficient conditions are ...