4.5 Article

Noninstantaneous Impulsive Conformable Fractional Stochastic Delay Integro-Differential System with Rosenblatt Process and Control Function

Journal

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
Volume 21, Issue 1, Pages -

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s12346-021-00544-z

Keywords

Noninstantaneous impulsive; Conformable derivative; Fractional stochastic delay integro-differential system; Approximate controllability; Null controllability; Rosenblatt process

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This paper investigates the control conditions of noninstantaneous impulsive conformable fractional stochastic delay integro-differential system driven by Rosenblatt process, and provides an explanation through an example.
In this paper, noninstantaneous impulsive conformable fractional stochastic delay integro-differential system driven by Rosenblatt process is studied. Sufficient conditions for approximate controllability and null controllability for the considered problem are established. Finally, an example is introduced to explain the obtained results.

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