[PDF] Top 20 On Some Fractional Stochastic Integrodifferential Equations in Hilbert Space
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On Some Fractional Stochastic Integrodifferential Equations in Hilbert Space
... of fractional stochastic integrodi ff erential equations considered in a real Hilbert ...for stochastic integropartial differential equations of fractional ... See full document
8
Solving multi-order fractional differential equations by reproducing kernel Hilbert space method
... for fractional differential equations, it is difficult to find the corresponding reproducing kernel space by applying traditional ...kernel space to overcome difficulties with the multi order ... See full document
21
Nonlocal nonlinear integrodifferential equations of fractional orders
... In this section, we mention some results obtained by Balachandran [], El-Borai [] and Pazy [], which will be used to get our new results. Let X and Y be Banach spaces with norm | · | and · respectively. The ... See full document
10
Approximate controllability of impulsive neutral stochastic differentialequations with fractional Brownian motion in a Hilbert space
... neutral stochastic functional differential equations with finite delay and fractional Brownian motion in a Hilbert space are ...theory, stochastic analysis, and Banach’s fixed point ... See full document
11
Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay
... We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space X. The existence of mild ... See full document
18
Nonlinear functional integrodifferential equations in Hilbert space
... Abstract. Let X be a Hilbert space and let Ω ⊂ R n be a bounded domain with smooth boundary ∂Ω. We establish the existence and norm estimation of solutions for the parabolic partial functional ... See full document
8
Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations
... An integrodifferential equation is one which involves both integrals and derivatives of an unknown ...the equations of basic electric circuit ...various integrodifferential equations in Banach ... See full document
6
Stochastic differential equations in a scale of Hilbert spaces
... non-equilibrium stochastic dynamics of infinite particle sys- tems of the aforementioned type has been a long-standing problem, even in the case of linear drift and a single-particle diffusion ...the space ... See full document
21
Existence and Approximate Solutions for Nonlinear Hybrid Fractional Integrodifferential Equations
... hybrid fractional differential equations with maxima and with a linear as well as quadratic perturbation of second ...nonlinear fractional differential equations are obtained under weaker ... See full document
11
Spatial asymptotics and strong comparison principle for some fractional stochastic heat equations
... with space-time white noise and α = 2 is the well-known Mueller’s comprison principle (see ...general fractional differential operator than the fractional ...the fractional Laplacian and the ... See full document
32
Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non Lipschitz Coefficients
... under some carath´eodory-type conditions to the Hilbert space with the Lipschitz condition in 11 and the non-Lipschitz condition in 12 being regarded as special ... See full document
13
Approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces
... In this paper, the approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in a Hilbert space is studied. By using the nonlinear ... See full document
31
Square mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space
... of stochastic differential equations in a real separable Hilbert ...also some properties of square-mean almost automorphic functions including a compostion ...of fractional powers of an ... See full document
12
Exact null controllability of semi-linear stochastic differential systems with nonlocal condition
... controllability of the semi-linear integrodifferential systems in Hilbert spaces. They pointed out that the bounded invertibility assumption is rather strong and can only be applied to finite dimensional ... See full document
14
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm
... Sobolev-type fractional neutral stochastic differential equations driven by fractional Brownian motion with infinite delay in a Hilbert ...theorem, stochastic calculus and the ... See full document
15
Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects
... neutral stochastic integrodifferential equations driven by ...impulsive stochastic integrodifferential equations have been received much ...to stochastic integrodifferential ... See full document
20
On some properties of a class of fractional stochastic heat equations
... Lu + λσ (u) ξ ˙ on the ball B(0, R), where ξ ˙ denotes some Gaussian noise and σ is Lipschitz continuous. Here L corresponds to a symmetric α-stable process killed upon exiting B ( 0 , R ) . We will consider two ... See full document
24
Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition
... The paper is organized as follows. In Section 2, some definitions, lemmas and preliminary results are introduced to be used in the sequel. Section 3 will involve the assumptions, main results and proofs of ... See full document
12
Covariant Mehler semigroups in Hilbert space
... In the sequel we will always assume that the conditions given above hold. (T (t), t ≥ 0) is then called a (generalised) Mehler semigroup. We also assume that λ is Sazonov continuous, i.e. it is continuous with respect to ... See full document
13
A Characterization of Semilinear Surjective Operators and Applications to Control Problems
... The novelty in this work lies in the following facts: First, the main results are obtained by standard and basic functional analysis such as Cauchy-Schwarz inequality, Hahn-Banach theorem, the open mapping theorem, etc. ... See full document
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