Results 1 to 10 of about 836 (186)
Investigation on integro-differential equations with fractional boundary conditions by Atangana-Baleanu-Caputo derivative. [PDF]
PLoS ONEWe establish, the existence and uniqueness of solutions to a class of Atangana-Baleanu (AB) derivative-based nonlinear fractional integro-differential equations with fractional boundary conditions by using special type of operators over general Banach ...
Samy A Harisa +4 more
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Mathematics, 2021 We obtained results on the existence and uniqueness of a mild solution for a fractional-order semi-linear differential inclusion in a Hilbert space whose right-hand side contains an unbounded linear monotone operator and a Carathéodory-type multivalued ...
Mikhail Kamenskii +3 more
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Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary
Mathematics, 2023 In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases.
Lizhi Cui, Jing Lu
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Mathematics, 2023 In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary.
Lizhi Cui, Jing Lu
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Solutions of a Nonlinear Diffusion Equation with a Regularized Hyper-Bessel Operator
Fractal and Fractional, 2022 We investigate the Cauchy problem for a nonlinear fractional diffusion equation, which is modified using the time-fractional hyper-Bessel derivative. The source function is a gradient source of Hamilton–Jacobi type. The main objective of our current work
Nguyen Hoang Luc +2 more
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On the minimum energy compensation for linear time-varying disturbed systems [PDF]
Archives of Control Sciences, 2022 We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems.
El Mostafa Magri +3 more
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ON HILBERT UNIQUENESS METHOD: A SEMIGROUP APPROACH
IFAC Proceedings Volumes, 1989 A generalized version of Hilbert uniqueness method (HUM] developed by Lions for hyperbolic systems and Belfekih − El Jai for parabolic systems is proposed. The approach is based on semigroup theory and applies for both parabolic and hyperbolic systems.
L. Berrahmoune, A. El Jai
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Evolution Equations in Hilbert Spaces via the Lacunae Method
Fractal and Fractional, 2022 In this paper, we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation.
Maksim V. Kukushkin
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Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Dhirendra Bahuguna, J. Dabas
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Regional controllability results for Riemann–Liouville fractional control systems
Results in Control and Optimization, 2022 In this paper, we consider the problem of regional controllability for semi-linear time-fractional sub-diffusion systems involving Riemann–Liouville fractional derivative.
A. Tajani, F.-Z. El Alaoui
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