[PDF] Top 20 Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay
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Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay
... differential equations have been successfully applied to various fields, for exam- ple, physics, engineering, chemistry, aerodynamics, electrodynamics of complex medium, and polymer rheology, and they have been ... See full document
20
Existence of mild solutions for Sobolev-type Hilfer fractional evolution equations with boundary conditions
... a Sobolev-type equation appears in a variety of physical problems such as flow of fluid through fissured rocks, thermodynamics, propagation of long waves of small amplitude and so on ...The existence ... See full document
25
Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations
... differential equations has become an active area of in- vestigation due to their applications in fields such as mechanics, electrical engineering, medicine biology (see ...The existence, uniqueness and ... See full document
37
Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
... new type for a class of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fractional evolution ... See full document
15
On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation
... the evolution equations was done provided that the operator in the linear part is the infinitesimal generator of a strongly continuous operator semigroup, an analytic semigroup, or a compact semi- group, or ... See full document
16
Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations
... the existence, uniqueness and continuous dependence of mild solutions for fractional neutral functional differential equation with nonlocal initial conditions and infinite ... See full document
14
Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions
... integro-differential equations plays an important role in abstract formulation of many initial, boundary value problems of perturbed differential partial integro-differential ...mixed type integro- differential ... See full document
16
Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations
... for fractional evolution equations have been investigated by many ...the solutions to Cauchy problems for different fractional evolution ...of mild solutions of ... See full document
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Existence of mild solutions for impulsive fractional stochastic equations with infinite delay
... differential equations have been widely applied in science, engineering, biology, mathematical finance and in almost all applied ...the existence and uniqueness of solutions to stochastic ... See full document
14
Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations
... and fractional power operator ...differential equations with finite delays have already been investigated successfully by various authors ...stochastic evolution equations of McKean-Vlasov ... See full document
27
Existence of mild solutions for fractional nonlocal evolution equations with delay in partially ordered Banach spaces
... the existence of mild solutions for the abstract fractional nonlocal evolution equations with noncompact semigroup in partially ordered Banach ...the existence of abstract ... See full document
10
Existence of Mild Solutions to Fractional Integrodifferential Equations of Neutral Type with Infinite Delay
... The fractional differential equations are valuable tools in the modeling of many phenomena in various fields of science and engineering; so, they attracted many researchers ...integrodifferential ... See full document
15
Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay
... the existence of mild solution of 1.1 and obtain the existence theorem based on the measures of noncompactness without the assumptions that the nonlinearity f satisfies a Lipschitz type ... See full document
18
The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
... the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order 1 < β < 2 and its Hyers–Ulam ...the ... See full document
18
The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)
... In short, we have proved that {S()} is relatively compact for {(Su)(t) : u ∈ } is a family of equicontinuous function. Hence by the Arzela-Ascoli theorem, S is compact. As all the conditions of Krasnoselskii’s fixed point ... See full document
15
Existence Results for Fractional Order Mixed Type Functional Integro differential Equations with Impulses
... the existence of mild solutions for the semilinear fractional order functional of Volterra-Fredholm type differential equations with impulses in a Banach ...of fractional ... See full document
6
Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations
... fundamental solutions of fractional evolution equations”, Chaos, Solitons and Fractals, ...stochastic fractional integrodifferential equations”, Advances in Dynamical Systems and ... See full document
6
On the \(\mathcal{PC}\)-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness
... ω-periodic mild solutions based on the Hausdorff measure of noncompactness have been ...or fractional-order differential equations with impulses have been studied ... See full document
23
Mild solutions of fractional evolution equations on an unbounded interval
... with existence results for mild solutions of problem ...noncompactness, fractional derivation, and ...the existence results for problem ... See full document
10
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm
... of fractional differential equations and their applications are prominent, especially in modeling several complex phenomena such as anomalous diffusion of particles (see, for examples, [6] ...differential ... See full document
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