Multi-term time-fractional stochastic system with multiple delays in control

A. Raheem, A. Afreen and A. Khatoon

Chaos, Solitons & Fractals, 2023, vol. 167, issue C

Abstract: In the present paper, we study a multi-term time-fractional stochastic differential equation with multiple delays in control. We employ a general mild solution of the system, achieved by the generalization of the semigroup as a (α,γi)-resolvent family. An approach to transforming the controllability problem into a fixed point problem is developed to examine the controllability results. An example is given to illustrate the results.

Keywords: Caputo fractional derivative; Multi-term time-fractional system; Multiple delays; Stochastic system; Controllability (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922011584

DOI: 10.1016/j.chaos.2022.112979

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