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 $$C((-\infty… read more here.
Keywords: time fractional; stokes equations; mild solutions; delay ... See more keywords
Existence of Optimal Mild Solutions for Multi-valued Impulsive Stochastic Partial Functional Integrodifferential Equations
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0096-8
Abstract: In this paper, we introduce a new class of multi-valued impulsive stochastic partial functional integrodifferential equations with infinite delay in the $$\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
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Analysis: Hybrid Systems"
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
Existence of Mild Solutions for Nonlocal Evolution Equations with the Hilfer Derivatives
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Function Spaces"
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 of Mild Solutions for Hilfer Fractional Evolution Equations with Almost Sectorial Operators
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DOI: 10.3390/axioms11040144
Abstract: In this paper, we obtain new sufficient conditions of the existence of mild solutions for Hilfer fractional evolution equations in the cases that the semigroup associated with an almost sectorial operator is compact as well… read more here.
Keywords: existence mild; hilfer fractional; evolution equations; solutions hilfer ... See more keywords
Mild Solutions for Fractional Impulsive Integro-Differential Evolution Equations with Nonlocal Conditions in Banach Spaces
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DOI: 10.3390/sym14081655
Abstract: In this paper, by using the cosine family theory, measure of non-compactness, the Mönch fixed point theorem and the method of estimate step by step, we establish the existence theorems of mild solutions for fractional… read more here.
Keywords: solutions fractional; impulsive integro; integro differential; differential evolution ... See more keywords
Spatial asymptotics of mild solutions to the time-dependent Oseen system
Sign Up to like & getrecommendations! Published in 2021 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2021044
Abstract: We consider mild solutions to the 3D time-dependent Oseen system with homogeneous Dirichlet boundary conditions, under weak assumptions on the data. Such solutions are defined via the semigroup generated by the Oseen operator in \begin{document}$… read more here.
Keywords: solutions time; oseen system; mild solutions; time dependent ... See more keywords