Approximate Controllability for Navier–Stokes Equations in 3D Rectangles Under Lions Boundary Conditions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-018-9412-0
Abstract: The 3D Navier–Stokes system, under Lions boundary conditions, is proven to be approximately controllable provided a suitable saturating set does exist. An explicit saturating set for 3D rectangles is given. read more here.
Keywords: boundary conditions; stokes equations; approximate controllability; controllability navier ... See more keywords
Approximate Controllability for a Class of Linear Neutral Evolution Systems with Infinite Delay
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-021-09560-3
Abstract: This paper deals with the approximate controllability problem for a class of linear neutral evolution systems with infinite delay in Banach spaces. Since the concerned system involves additional linear terms, the fundamental solution theory is… read more here.
Keywords: neutral evolution; evolution systems; controllability; linear neutral ... See more keywords
Approximate Controllability of a Fractional Neutral Differential System with Deviated Argument in a Banach Space
Sign Up to like & getrecommendations! Published in 2017 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-015-0237-y
Abstract: In this paper, a fractional order neutral differential equation with deviated argument is studied. The existence and uniqueness of mild solution are obtained by using Banach contraction principle without imposing additional assumptions such as compactness,… read more here.
Keywords: controllability fractional; deviated argument; neutral differential; approximate controllability ... See more keywords
Approximate controllability of fractional nonlinear neutral stochastic differential inclusion with nonlocal conditions and infinite delay
Sign Up to like & getrecommendations! Published in 2017 at "Arabian Journal of Mathematics"
DOI: 10.1007/s40065-017-0163-7
Abstract: In this paper we consider a class of fractional nonlinear neutral stochastic evolution inclusions with nonlocal initial conditions in Hilbert space. Using fractional calculus, stochastic analysis theory, operator semigroups and Bohnenblust–Karlin’s fixed point theorem, a… read more here.
Keywords: controllability fractional; nonlinear neutral; stochastic differential; fractional nonlinear ... See more keywords
Approximate Controllability of Strongly Degenerate Fractional Order System of Distributed Control
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.11.503
Abstract: Abstract The approximate controllability of a class of infinite dimensional control systems, described by the equation not solved with respect to the fractional Caputo derivative, is studied. Under the supposition of relative p-boundedness of the… read more here.
Keywords: strongly degenerate; system; control; approximate controllability ... See more keywords
Approximate controllability of the FitzHugh-Nagumo equation in one dimension
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.10.001
Abstract: Abstract The FitzHugh-Nagumo (FHN) equation is a simplified model of a nerve axon. We explore the controllability of this model using a localized interior control only for the first equation. The Linearized system is not… read more here.
Keywords: localized interior; fitzhugh nagumo; approximate controllability; interior control ... See more keywords
Existence, uniqueness and approximate controllability of abstract differential equations with state-dependent delay
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.06.030
Abstract: Abstract We study the approximate controllability of a general class of first order abstract control differential problems with state-dependent delay. To this end, we establish and prove several new results on local and global existence… read more here.
Keywords: approximate controllability; dependent delay; state dependent; differential equations ... See more keywords
Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille–Yosida operators
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Control"
DOI: 10.1080/00207179.2018.1433331
Abstract: ABSTRACT In this paper, we mainly focused the approximate controllability results for a class of non-densely defined fractional neutral differential control systems. First, we establish a set of sufficient conditions for the approximate controllability for… read more here.
Keywords: densely defined; controllability results; approximate controllability; controllability ... See more keywords
On the Approximate Controllability for Hilfer Fractional Evolution Hemivariational Inequalities
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DOI: 10.1080/01630563.2018.1499667
Abstract: Abstract The paper is concerned with the approximate controllability of some Hilfer fractional evolution hemivariational inequalities. Using two classes of operators and their fundamental properties, we derive sufficient conditions for approximate controllability of linear and… read more here.
Keywords: evolution hemivariational; approximate controllability; hilfer fractional; fractional evolution ... See more keywords
Approximate controllability of fractional delay evolution inclusions with noncompact semigroups
Sign Up to like & getrecommendations! Published in 2019 at "Optimization"
DOI: 10.1080/02331934.2019.1625350
Abstract: ABSTRACT This paper is devoted to investigate the control systems governed by nonlinear fractional delay evolution inclusions (FDEIs) with noncompact semigroups. Under suitable assumptions, sufficient conditions for approximate controllability of FDEIs are established. The approximate… read more here.
Keywords: noncompact semigroups; fractional delay; delay evolution; evolution inclusions ... See more keywords
Approximate controllability of stochastic differential system with non-Lipschitz conditions
Sign Up to like & getrecommendations! Published in 2021 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2021.1930050
Abstract: This paper includes investigation of approximate controllability results for a multi-term time-fractional stochastic differential system in a Hilbert space. A new set of results is obtained with no... read more here.
Keywords: approximate controllability; differential system; stochastic differential;