[PDF] Top 20 Fractional evolution equations with infinite delay under Carathéodory conditions
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Fractional evolution equations with infinite delay under Carathéodory conditions
... differential equations are well known to describe many sophisticated dynam- ical systems in physics, fluid dynamics, praxiology, viscoelasticity and ...including fractional derivative is their nonlocal ... See full document
9
Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay
... the fractional differential equations was done provided that the operator in the linear part is the infinitesimal generator of a strongly continuous operator semigroup, a compact semigroup, or an analytic ... See full document
11
Approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces
... by fractional evolution equations or inclusions in abstract spaces has been considered in many publications; see ...the fractional impulsive evolution ...of fractional-order ... See full document
31
Existence results for fractional neutral functional integro differential evolution equations with infinite delay in Banach spaces
... for fractional neutral integro-differential systems with infinite delay in an abstract phase space via measures of noncompactness combined with the help of characteristic solution ... See full document
12
Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
... of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fractional evolution equations with ... See full document
15
Existence of mild solutions for impulsive fractional stochastic equations with infinite delay
... of fractional stochastic differential equations with impulses in Hilbert ...sufficient conditions are formulated and proved for the existence of mild solutions by means of Sadovskii’s fixed point ... See full document
14
Existence of mild solution result for fractional neutral stochastic integro-differential equations with nonlocal conditions and infinite delay
... some fractional differential equations have been attrac- tive to many researchers Mophou et al [23] studied existence of mild solution for some fractional differential equations with nonlocal ... See full document
14
Existence of mild solution for a class of coupled systems of neutral fractional integro differential equations with infinite delay in Banach space
... From (3.16)–(3.19), we know that Q is equicontinuous. Hence, by the Arzela–Ascoli theorem, we conclude that Q : Ω → Ω is completely continuous, that is, condition (iii) of Lemma 2.4 also holds. Thus all the ... See full document
15
Existence of Mild Solutions to Fractional Integrodifferential Equations of Neutral Type with Infinite Delay
... the fractional integrodifferential equations of neutral type with infinite delay in a Banach space ...obtained under the conditions in respect of Kuratowski’s measure of ... See full document
15
Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
... of fractional stochastic impulsive neutral functional differential equations with infinite delay which arise from many practical applications such as viscoelasticity and ...Using fractional ... See full document
14
Stochastic delay evolution equations driven by sub fractional Brownian motion
... Remark . A remarkable fact is that the decay rate γ is independent of H. Indeed, in the case of considering a Q-Brownian motion, i.e., the case H = /, instead of our sub-fBm S H Q , the condition on λ would be ... See full document
17
Controllability for a new class of fractional neutral integro differential evolution equations with infinite delay and nonlocal conditions
... solved under the assumption that the system is ...ear evolution equations in infinite dimensional spaces ...nonlocal conditions may be connected with better effect in physical science than the ... See full document
22
Existence results for fractional differential equations with infinite delay and interval impulsive conditions
... differential equations is also an important area of research which has been investigated in the last few years by great number of ...differential equations may better model phenomena and dynamical processes ... See full document
8
Positive solutions of singular Hadamard type fractional differential equations with infinite point boundary conditions or integral boundary conditions
... We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our ... See full document
26
Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non Lipschitz conditions
... differential equations (NSFDEs in short) []. In , under the classic Lipschitz condition, Mao [, ] discussed the existence-and-uniqueness theorem, the L p -exponential estimates, exponential stability ... See full document
12
Existence of solutions for fractional differential equations with infinite point boundary conditions at resonance
... is established and we also give an example to illustrate the application of the theorem. To the best of our knowledge, the issue on the existence of solutions for infinite point BVPs was first studied by Ma (see [35]) and ... See full document
16
Existence of mild solutions for fractional evolution equations with nonlocal conditions
... differential equations involving fractional derivatives in time have recently been proved to be valuable tools in the modeling of many phenomena in various fields of en- gineering and ...on fractional ... See full document
12
A study of second order impulsive neutral evolution control systems with an infinite delay
... In this work we will employ an axiomatic definition of the phase space B, similar to the one used in [8] and suitably modify to treat retarded impulsive differential equations. More precisely, B will denote the ... See full document
14
Existence of solutions to a coupled system of fractional differential equations with infinite point boundary value conditions at resonance
... for fractional boundary value problems with infinite-point boundary ...Although fractional boundary value problems at resonance have been studied by some authors, to the best of our knowledge, ... See full document
13
A Study of Second Order Impulsive Neutral Evolution Differential Control Systems with an Infinite Delay
... [5] T. Gunasekar, M. Angayarkanni and S. Yasotha, Controllability results for impul- sive neutral stochastic functional integrodifferential inclusions with infinite delay, International Journal of Pure and ... See full document
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