Results 1 to 10 of about 123 (69)
Open Mathematics, 2022 In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in α\alpha -norm, which are more general than in many previous publications.
Zhang Xuping, Sun Pan
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Port-Hamiltonian model of two-dimensional shallow water equations in moving containers
IMA Journal of Mathematical Control and Information, 2020 The free surface motion in moving containers is an important physical phenomenon for many engineering applications. One way to model the free surface motion is by employing shallow water equations (SWEs).
F. Cardoso-Ribeiro +2 more
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Faedo-Galerkin approximation of mild solutions of fractional functional differential equations
Nonautonomous Dynamical Systems, 2021 In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point theorem technique.
Sousa J. Vanterler da C. +2 more
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Nonautonomous Dynamical Systems, 2022 In this work, we study a class of abstract non-autonomous partial functional differential equations with infinite delay. Our main results concern the local existence of the mild solution which can blow up at the finite time.
Diop Mamadou Abdoul +2 more
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Open Mathematics, 2023 In this article, we study the existence of mild solutions and the approximate controllability for a class of stochastic elastic systems with structural damping and infinite delay in Hilbert spaces.
Peng Jiankui +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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Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales
Moroccan Journal of Pure and Applied Analysis, 2021 In this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem.
Bouchelaghem Faycal +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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Alexandria Engineering Journal, 2022 The article analyzes the existence of Caputo fractional evolution integrodifferential equations of order ...
Yong-Ki Ma +5 more
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Fractional neutral evolution equations with nonlocal conditions
Advances in Differential Equations, 2013 In the present paper, we deal with the fractional neutral differential equations involving nonlocal initial conditions. The existence of mild solutions are established. The results are obtained by using the fractional power of operators and the Sadovskii’
H. Ahmed
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