On asymptotically almost periodic mild solutions for wave equations on the whole space
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DOI: 10.1002/mana.70010
Abstract: We study the existence, uniqueness and polynomial stability of forward asymptotically almost periodic (AAP‐) mild solutions for the wave equation with a singular potential on the whole space Rn$\mathbb {R}^n$ in a framework of weak‐… read more here.
Keywords: solutions wave; asymptotically almost; almost periodic; whole space ... See more keywords
Mild Solutions to Time Fractional Stochastic 2D-Stokes Equations with Bounded and Unbounded Delay
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-019-09809-3
Abstract: In this paper, the well-posedness of stochastic time fractional 2D-Stokes equations of order $$\alpha \in (0,1)$$ containig finite or infinite delay with multiplicative noise is established, respectively, in the spaces $$C([-h,0];L^2(\varOmega ;L^2_{\sigma }))$$ and $$C((-\infty… read more here.
Keywords: time fractional; stokes equations; mild solutions; delay ... See more keywords
Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions
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DOI: 10.1007/s11228-024-00706-6
Abstract: Existence results for a Cauchy problem driven by a semilinear differential Sturm-Liouville inclusion are achived by proving, in a preliminary way, an existence theorem for a suitable integral inclusion. In order to obtain this proposition… read more here.
Keywords: solutions mild; strong solutions; mild solutions; liouville inclusion ... See more keywords
Existence of Optimal Mild Solutions for Multi-valued Impulsive Stochastic Partial Functional Integrodifferential Equations
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0096-8
Abstract: In this paper, we introduce a new class of multi-valued impulsive stochastic partial functional integrodifferential equations with infinite delay in the $$\alpha $$α-norm. Using stochastic analysis, analytic semigroup and fixed point strategy with the properties… read more here.
Keywords: valued impulsive; existence; mild solutions; stochastic partial ... See more keywords
Mild solutions to integro-differential equations in Banach spaces
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DOI: 10.1016/j.jde.2019.12.001
Abstract: Abstract In this paper we study the existence and uniqueness of mild solutions to integro-differential equations in terms of a resolvent operator on the interval [ 0 , 2 π ] and on the real… read more here.
Keywords: integro differential; banach spaces; mild solutions; differential equations ... See more keywords
Global attracting set, exponential stability and stability in distribution of SPDEs with jumps
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DOI: 10.1016/j.nahs.2021.101056
Abstract: Abstract A novel approach to the global attracting sets of mild solutions for stochastic functional partial differential equations driven by Levy noise is presented. Consequently, some new sufficient conditions ensuring the existence of the global… read more here.
Keywords: global attracting; attracting set; mild solutions; stability ... See more keywords
Mild solutions to the 3D-Boussinesq system with weakened initial temperature in Sobolev spaces
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DOI: 10.1063/5.0250868
Abstract: In this research, the Cauchy problem of the 3D viscous Boussinesq system is studied considering an initial temperature with negative Sobolev regularity. Precisely, we construct local in time mild solutions to this system where the… read more here.
Keywords: system; initial temperature; sobolev spaces; mild solutions ... See more keywords
Well-posedness and stability for Boussinesq systems in weak-Lorentz spaces with Muckenhoupt weights
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DOI: 10.1080/14689367.2024.2441271
Abstract: We investigate the existence and stability of mild solutions of Boussinesq system in the weak-Lorentz spaces with Muckenhoupt weight in the framework of half-spaces. Our strategy starts with the corresponding linear system, for which we… read more here.
Keywords: spaces muckenhoupt; stability; lorentz spaces; mild solutions ... See more keywords
Existence of Mild Solutions for Nonlocal Evolution Equations with the Hilfer Derivatives
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DOI: 10.1155/2023/8662375
Abstract: The existence of mild solutions for Hilfer fractional evolution equations with nonlocal conditions in a Banach space is investigated in this manuscript. No assumptions about the compactness of a function or the Lipschitz continuity of… read more here.
Keywords: function; existence mild; evolution equations; solutions nonlocal ... See more keywords
Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1526-5
Abstract: In this paper, we deal with a class of nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional derivative, which generalizes the famous Riemann-Liouville fractional derivative. The definition of mild solutions for the… read more here.
Keywords: nonautonomous evolution; evolution equations; mild solutions; existence mild ... See more keywords
Existence and qualitative behavior of mild solutions for fuzzy boundary value problem with nonlocal conditions
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DOI: 10.2298/fil2421609g
Abstract: The focus of this study is on boundary-value issues for Caputo-type fractional differential equations of order 1 < q < 2. To begin, we demonstrate the existence theorem of mild solutions under certain lesser constraints… read more here.
Keywords: behavior mild; qualitative behavior; mild solutions; boundary value ... See more keywords