Results 11 to 20 of about 698 (72)
Alexandria Engineering Journal, 2023 The main focus of our discussion is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra–Fredholm integro-differential systems.
K. Kavitha +2 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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Carleman estimates and null controllability of a class of singular parabolic equations
Advances in Nonlinear Analysis, 2018 In this paper, we consider control systems governed by a class of semilinear parabolic equations, which are singular at the boundary and possess singular convection and reaction terms.
Du Runmei +3 more
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On Carleman and observability estimates for wave equations on time‐dependent domains
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019 Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
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Null controllability for a degenerate population model in divergence form via Carleman estimates
Advances in Nonlinear Analysis, 2019 In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
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Integral observability operators of nonlinear dynamical systems
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 55, Page 3519-3538, 2003., 2003 In terms of functional dependence, the description of observable functions in nonlinear dynamical systems, which are analytic with respect to phase variables, is obtained. For processing of measurements, integral operators are used, which provide certain noise stability of operation of phase state reconstruction.
Yury V. Zaika
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