Results 11 to 20 of about 188 (113)
Approximate controllability and optimal controls of fractional evolution systems in abstract spaces [PDF]
Advances in Differential Equations, 2014 In this paper, under the assumption that the corresponding linear system is approximately controllable, we obtain the approximate controllability of semilinear fractional evolution systems in Hilbert spaces.
Haiyong Qin +3 more
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The complex Ginzburg-Landau equation perturbed by a force localised both in physical and Fourier spaces [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021 In the paper [KNS20a], a criterion for exponential mixing is established for a class of random dynamical systems. In that paper, the criterion is applied to PDEs perturbed by a noise localised in the Fourier space.
V. Nersesyan
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Reachable states for the distributed control of the heat equation
Comptes rendus. Mathematique, 2022 We are concerned with the determination of the reachable states for the distributed control of the heat equation on an interval. We consider either periodic boundary conditions or homogeneous Dirichlet boundary conditions.
Mo Chen, L. Rosier
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Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid
Comptes rendus. Mathematique, 2021 We consider the controllability of a viscous incompressible fluid modeled by the Navier–Stokes system with a nonlinear viscosity. To prove the controllability to trajectories, we linearize around a trajectory and the corresponding linear system includes ...
S. Guerrero, Takéo Takahashi
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Fixed Point Theory and Applications, 2013 In this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space.
J. Machado +3 more
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An interpretation on controllability of Hilfer fractional derivative with nondense domain
Alexandria Engineering Journal, 2022 Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with ...
C. Ravichandran +4 more
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Ain Shams Engineering Journal, 2023 This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system.
Yong-Ki Ma +5 more
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Ain Shams Engineering Journal, 2023 The study of approximate controllability results ensures the essential conditions required for a solution. Keeping the importance of the study, we initiate the existence and approximate controllability an Atangana-Baleanu-Caputo (ABC)-fractional order ...
Yong-Ki Ma +5 more
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Study of Hilfer fractional evolution equations by the properties of controllability and stability
Alexandria Engineering Journal, 2021 This paper is devoted to discuss Hilfer fractional evolution equations through its controllability and stability in a Banach space. We achieve our claims and conclusions by first demonstrating the nature and uniqueness of the suggested set of equations ...
Pallavi Bedi +3 more
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Open Mathematics, 2020 This article deals with the exact controllability for a class of fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space under the assumption that the semigroup generated by the linear part is noncompact.
Ding Yonghong, Li Yongxiang
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