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Variational quantum evolution equation solver [PDF]
Scientific Reports, 2022 Variational quantum algorithms offer a promising new paradigm for solving partial differential equations on near-term quantum computers. Here, we propose a variational quantum algorithm for solving a general evolution equation through implicit time ...
Fong Yew Leong +2 more
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Stability of well-posed stochastic evolution equation [PDF]
Heliyon, 2019 The stability of a non-classical stochastic evolution equation with impulsive and nonlocal initial conditions is examined from a general perspective.
S.A. Bishop, S.A. Iyase, H.I. Okagbue
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Fractal and Fractional, 2021 This paper presents a variational method for studying approximate controllability and infinite-dimensional exact controllability (finite-approximate controllability) for Riemann–Liouville fractional linear/semilinear evolution equations in Hilbert spaces.
Nazim I. Mahmudov
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ON PROPER TIME OF THE SOURCE OF A STRONG EARTHQUAKE
Геодинамика и тектонофизика, 2023 The physics of earthquakes was contriubuted to by the concept of proper time of the source of a strong earthquake, which is different from universal (calendar) time. The earlier idea of proper time was implicit and has been considered only in relation to
A. V. Guglielmi +3 more
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Solvability of the abstract evolution equations in Ls-spaces with critical temporal weights
Open Mathematics, 2021 This paper deals with the abstract evolution equations in Ls{L}^{s}-spaces with critical temporal weights. First, embedding and interpolation properties of the critical Ls{L}^{s}-spaces with different exponents ss are investigated, then solvability of ...
Zhang Qinghua, Tan Zhizhong
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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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Note on the spectral theorem for unbounded non-selfadjoint operators
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 In this paper, we deal with non-selfadjoint operators with the compact resolvent. Having been inspired by the Lidskii idea involving a notion of convergence of a series on the root vectors of the operator in a weaker – Abel-Lidskii sense, we proceed ...
Kukushkin, M.V.
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Известия Иркутского государственного университета: Серия "Математика", 2019 We investigates the unique solvability of a class of linear inverse problems with a time-independent unknown coefficient in an evolution equation in Banach space, which is resolved with respect to the fractional Gerasimov – Caputo derivative.
V.E. Fedorov, A. V. Nagumanova
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Axioms, 2023 The goal of this dissertation is to explore a system of fractional evolution equations with infinitesimal generator operators and an infinite time delay with non-local conditions. It turns out that there are two ways to regulate the solution.
Ahmed Salem, Kholoud N. Alharbi
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Inverse Problems for Degenerate Fractional Integro-Differential Equations
Mathematics, 2020 This paper deals with inverse problems related to degenerate fractional integro-differential equations in Banach spaces. We study existence, uniqueness and regularity of solutions to the problem, claiming to extend well known studies for the case of non ...
Mohammed Al Horani +3 more
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