Partial approximate controllability results for fractional order stochastic evolution equations using approximation method

Renu Chaudhary

doi:10.3934/eect.2023001

Article Contents

2023, Volume 12, Issue 4: 1083-1101. Doi: 10.3934/eect.2023001

This issue Previous Article Decay estimates for a perturbed two-terms space-time fractional diffusive problem Next Article Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes

Partial approximate controllability results for fractional order stochastic evolution equations using approximation method

Renu Chaudhary^,

Department of Mathematics, The Technion – Israel Institute of Technology, 32000 Haifa, Israel

^*Corresponding author: Renu Chaudhary
^*Corresponding author: Renu Chaudhary

Received: October 2022

Revised: December 2022

Early access: January 16, 2023

Published online: January 16, 2023

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Abstract

The sufficient conditions for existence and partial approximate controllability of fractional stochastic evolution equations with nonlocal initial conditions have been discussed. The discussion is based on the variational method, fractional calculus, Schauder's fixed point theorem, and stochastic analysis. Contrary to the results available in the literature, the non-local function does not need to be compact or satisfy Lipschitz's condition. Moreover, the pertinent nonlinear function does not need to be uniformly bounded. At the end, an application has also been demonstrated.

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Mathematics Subject Classification: Primary: 34K50; Secondary: 93B05, 26A33, 34B10, 35A15.

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