Results 21 to 30 of about 1,036,048 (312)
AIMS Mathematics, 2020 This paper deals with the existence of mild solutions for non-linear fractional integrodifferential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Fréchet spaces ...
Mouffak Benchohra +3 more
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Mild Solutions of Second-Order Semilinear Impulsive Differential Inclusions in Banach Spaces
Mathematics, 2022 In this paper, the existence of a mild solution to the Cauchy problem for impulsive semilinear second-order differential inclusion in a Banach space is investigated in the case when the nonlinear term also depends on the first derivative. This purpose is
Martina Pavlačková, Valentina Taddei
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Nonautonomous Dynamical Systems, 2020 In this work, we present existence of mild solutions for partial integro-differential equations with state-dependent nonlocal local conditions. We assume that the linear part has a resolvent operator in the sense given by Grimmer.
Diop Mamadou Abdoul +3 more
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Mild Solution for the Time-Fractional Navier–Stokes Equation Incorporating MHD Effects
Fractal and Fractional, 2022 The Navier–Stokes (NS) equations involving MHD effects with time-fractional derivatives are discussed in this paper. This paper investigates the local and global existence and uniqueness of the mild solution to the NS equations for the time fractional ...
Ramsha Shafqat +4 more
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Existence of mild solutions for fractional evolution equations [PDF]
Journal of Integral Equations and Applications, 2013 In this paper, we study the nonlocal Cauchy problems of fractional evolution equations with Riemann-Liouville derivative by considering an integral equation which is given in terms of probability density. By using the theory of Hausdorff measure of noncompactness, we establish various existence theorems of mild solutions for the Cauchy problems in the ...
Zhou, Yong, Zhang, Lu, Shen, Xiao Hui
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Hydrogen production by electrolysis of a phosphate solution on a stainless steel cathode [PDF]
, 2010 The catalytic properties of phosphate species, already shown on the reduction reaction in anaerobic corrosion of steels, are exploited here for hydrogen production.
Basséguy, Régine +3 more
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Mild solutions for abstract fractional differential equations [PDF]
Applicable Analysis, 2013 We propose a unified functional analytic approach to derive a variation of constants formula for a wide class of fractional differential equations using results on (a, k)-regularized families of bounded and linear operators, which covers as particular cases the theories of C 0-semigroups and cosine families.
Lizama, Carlos, N'Guerekata, Gaston M.
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Energy Independent Solution to the Solar Neutrino Anomaly including the SNO data [PDF]
, 2001 The global data on solar neutrino rates and spectrum, including the SNO charged current rate, can be explained by LMA, LOW or the energy independent solution -- corresponding to near-maximal mixing.
A. Acker +45 more
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ON UNIQUENESS OF MILD SOLUTIONS FOR DISSIPATIVE STOCHASTIC EVOLUTION EQUATIONS [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010 In the semigroup approach to stochastic evolution equations, the fundamental issue of uniqueness of mild solutions is often "reduced" to the much easier problem of proving uniqueness for strong solutions. This reduction is usually carried out in a formal way, without really justifying why and how one can do that.
Marinelli, Carlo, Röckner, Michael
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Stochastic lattice dynamical systems with fractional noise [PDF]
, 2016 This article is devoted to study stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter $H\in(1/2,1)$. First of all, we investigate the existence and uniqueness of pathwise mild solutions to such systems by the ...
Bessaih, Hakima +3 more
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