Results 41 to 50 of about 1,088,266 (333)
Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang Li +1 more
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Existence and Controls for Fractional Evolution Equations
AxiomsIn this paper, we investigate the existence and uniqueness of mild solutions for non-autonomous fractional evolution equations (NFEEs) using the technique of non-compactness measure, focusing on scenarios where the semigroup is non-compact.
Ying Chen, Yong Zhou
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Extremal Mild Solutions of Hilfer Fractional Impulsive Systems
, 2021 The well established monotone iterative technique that is used to study the existence and uniqueness of fractional impulsive system is extended to Hilfer fractional order in this paper. The results are derived by using the method of upper and lower solution and Gronwall inequality.
Raghavan, Divya, Nagarajan, Sukavanam
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Fractal and FractionalThis paper discusses the asymptotic controllability of fractional-order Sobolev-type perturbed stochastic control systems with Brownian motion and nonlocal fractional-order Sobolev stochastic conditions.
Tayeb Blouhi +6 more
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Probabilistic representation for mild solution of the Navier–Stokes equations [PDF]
Mathematical Research Letters, 2021 This paper is based on a formulation of the Navier-Stokes equations developed by Iyer and Constantin \cite{Cont} , where the velocity field of a viscous incompressible fluid is written as the expected value of a stochastic process. Our contribution is to establish this probabilistic representation formula for mild solutions of the Navier-Stokes ...
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MathematicsThis work presents a systematic study of nonlinear differential equations within Sobolev spaces, focusing on mild solutions and their qualitative properties.
Jianchao Bai, Jinxing Liu
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AIMS Mathematics, 2022 In this paper, we study sufficient conditions for the existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions.
Song Wang, Xiao-Bao Shu, Linxin Shu
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Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions
Set-Valued and Variational AnalysisAbstractExistence 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 we use a recent fixed point theorem that allows us to work with the weak topology and the De Blasi measure ...
Tiziana Cardinali, Giulia Duricchi
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Existence of the Mild Solution for Impulsive Semilinear Differential Equation [PDF]
International Journal of Partial Differential Equations, 2014 We study the existence of solutions of impulsive semilinear differential equation in a Banach space X in which impulsive condition is not instantaneous. We establish the existence of a mild solution by using the Hausdorff measure of noncompactness and a fixed point theorem for the convex power condensing operator.
Chadha, Alka, Pandey, Dwijendra N.
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Учёные записки Казанского университета: Серия Физико-математические наукиFor a nonstrictly hyperbolic mildly quasilinear biwave equation in the first quadrant, an initial-boundary value problem with the Cauchy conditions specified on the spatial half-line and the Dirichlet and Wentzell conditions applied on the time half-line
V. I. Korzyuk, J. V. Rudzko
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