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Stochastic controllability of semilinear fractional control differential equations

Pooja Gautam and Anurag Shukla

Chaos, Solitons & Fractals, 2023, vol. 174, issue C

Abstract: The purpose of our research is to identify some sufficient conditions for the stochastic controllability of fractional-order semilinear stochastic systems. The required outcomes are achieved by dividing the system under consideration into two systems: a linear stochastic system and a semilinear deterministic system. The key outcomes are achieved by employing the Schauder fixed point technique, nonlinear monotonicity, and keeping just fractional-order α∈(1/2,1). One example is presented for demonstrating the outcomes.

Keywords: Stochastic controllability; Fractional semilinear system; Reachable set; Schauder fixed point theorem (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007592

DOI: 10.1016/j.chaos.2023.113858

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