Results 31 to 40 of about 442,403 (170)
Topological Structure of Solution Sets of Fractional Control Delay Problem
Fractal and Fractional, 2023 This paper is concerned with the existence of a mild solution for the fractional delay control system. Firstly, we will study the control problem. Then, we will deal with the topological structure of the solution set consisting of the compactness and Rσ ...
Ahmed A. Al Ghafli +4 more
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Fractal and Fractional, 2021 Under a new generalized definition of exact controllability we introduced and with a appropriately constructed time delay term in a special complete space to overcome the delay-induced-difficulty, we establish the sufficient conditions of the exact ...
Daliang Zhao
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Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions
Electronic Journal of Differential Equations, 2009 We prove the existence and uniqueness of mild solutions of quasilinear integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory. Examples are
Krishnan Balachandran +1 more
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On a second-order evolution inclusion [PDF]
Results in Nonlinear Analysis, 2018 We study a class of second-order evolution inclusions and we obtain a sufficient condition for f-local controllability along a reference trajectory.
Aurelian Cernea
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Boundary controllability of impulsive nonlinear fractional delay integro-differential system
Cogent Engineering, 2016 By using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces.
Hamdy M. Ahmed
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Nonautonomous Dynamical Systems, 2023 We are interested in the existence of mild solutions for a class of partial integrodifferential inclusions in infinite dimensional Banach spaces. First, we show the existence of mild solutions with the help of a scale of Banach spaces, the theory of ...
El Matloub Jaouad, Ezzinbi Khalil
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Estimates for mild solutions to semilinear Cauchy problems [PDF]
Electronic Journal of Differential Equations, 2014 The existence (and uniqueness) results on mild solutions of the abstract semilinear Cauchy problems in Banach spaces are well known. Following the results of Tartar (2008) and Burazin (2008) in the case of decoupled hyperbolic systems, we give an alternative proof, which enables us to derive an estimate on the mild solution and its time of existence ...
Burazin K., Erceg M.
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Irregular convergence of mild solutions of semilinear equations [PDF]
Journal of Mathematical Analysis and Applications, 2019 We prove that even irregular convergence of semigroups of operators implies similar convergence of mild solutions of the related semi-linear equations with Lipschitz continuous nonlinearity. This result is then applied to three models originating from mathematical biology: shadow systems, diffusions on thin layers, and dynamics of ...
Adam Bobrowski, Markus Kunze
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Mild Solutions for Fractional Differential Equations with Nonlocal Conditions [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Periodic mild solutions of impulsive fractional evolution equations
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lulu Ren, JinRong Wang, Michal Fečkan
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