Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses

Rajesh Dhayal and Muslim Malik

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

Abstract: In this work, we consider a new class of fractional stochastic differential equations driven by the Rosenblatt process with non-instantaneous impulses. By employing the sectorial operator, fractional calculus, and Krasnoselskii’s fixed point theorem, we investigated the approximate controllability results for the proposed system. Furthermore, an illustrative example is presented to demonstrate the validity of the results.

Keywords: Fractional stochastic differential equations; Rosenblatt process; Non-instantaneous impulses; Approximate controllability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006469

DOI: 10.1016/j.chaos.2021.111292

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