Results 11 to 20 of about 1,088,266 (333)

Mild Solutions for a Class of Fractional SPDEs and Their Sample Paths [PDF]

open access: yesJournal of Evolution Equations, 2009
In this article we introduce and analyze a notion of mild solution for a class of non-autonomous parabolic stochastic partial differential equations defined on a bounded open subset $D\subset\mathbb{R}^{d}$ and driven by an infinite-dimensional ...
Sanz-Solé, Marta, Vuillermot, Pierre-A.
core   +5 more sources

Mild Solutions for Fractional Differential Equations with Nonlocal Conditions [PDF]

open access: goldAdvances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang Li
openalex   +5 more sources

Mild Solution for the Time-Fractional Navier–Stokes Equation Incorporating MHD Effects

open access: yesFractal 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
doaj   +1 more source

Fractional evolution equation nonlocal problems with noncompact semigroups [PDF]

open access: yesOpuscula Mathematica, 2016
This paper is concerned with the existence results of mild solutions to the nonlocal problem of fractional semilinear integro-differential evolution equations.
Xuping Zhang, Pengyu Chen
doaj   +1 more source

Global mild solutions of Navier‐Stokes equations [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2011
AbstractWe establish a global well‐posedness of mild solutions to the three‐dimensional, incompressible Navier‐Stokes equations if the initial data are in the space ${\cal{X}}^{-1}$ defined by \input amssym ${\cal{X}}^{‐1} = \{f \in {\cal{D}}^\prime(R^3): \int_{{\Bbb{R}}^3}|\xi|^{‐1}|\widehat{f}|d\xi < \infty\}$ and if the norms of the initial data ...
Lei, Zhen, Lin, Fang-Hua
openaire   +1 more source

Mild Solutions of Quantum Stochastic Differential Equations [PDF]

open access: yesElectronic Communications in Probability, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FAGNOLA, FRANCO, WILLS S. J.
openaire   +4 more sources

Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions [PDF]

open access: yes, 2020
Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model.
Izsák, Ferenc, Maros, Gábor
core   +2 more sources

Existence and Stability of Solutions for a Class of Stochastic Fractional Partial Differential Equation with a Noise

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
In this work, we will introduce a fractional Duhamel principle and use it to establish the well-boundedness and stability of a mild solution to an original fractional stochastic equation with initial data.
N. Bouteraa
doaj   +1 more source

Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces

open access: yesAIMS 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
doaj   +1 more source

Hydrogen production by electrolysis of a phosphate solution on a stainless steel cathode [PDF]

open access: yes, 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
core   +2 more sources

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