Finite-approximate controllability of semilinear fractional stochastic integro-differential equations

N.I. Mahmudov

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

Abstract: We introduce the concepts of simultaneous finite dimensional exact and mean square approximate controllability (finite-approximate controllability) in the framework of semilinear fractional stochastic integro-differential evolution Ito equations. Under the approximate controllability of the corresponding linear part we obtain sufficient conditions for the finite-approximate controllability of the semilinear fractional stochastic integro-differential evolution equation. At the end, an example of stochastic heat equation is given to show applicability of our result.

Keywords: Finite-approximate controllability; Approximate controllability; Stochastic evolution equation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920306731

DOI: 10.1016/j.chaos.2020.110277

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