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[PDF] Top 20 Existence of mild solutions for the impulsive semilinear nonlocal problem with random effects

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Existence of mild solutions for the impulsive semilinear nonlocal problem with random effects

Existence of mild solutions for the impulsive semilinear nonlocal problem with random effects

... decades impulsive differential equations have been widely studied and significant progress has been made in [–] and references ...of impulsive differen- tial equations is becoming more important ...of ... See full document

11

Existence of mild solutions for fractional impulsive neutral evolution equations with nonlocal conditions

Existence of mild solutions for fractional impulsive neutral evolution equations with nonlocal conditions

... the existence of mild solutions for the nonlocal problem of Caputo fractional impulsive neutral evolution equations in Banach ... See full document

16

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

... In order to do a comparison between our obtained re- sults in this paper and the known recent results in the same domain, we refer to: Ouahab [9] proved a version of Fillippov’s theorem for (1.1) without impulse, without ... See full document

17

On mild solutions of nonlocal semilinear functional integro-differential equations

On mild solutions of nonlocal semilinear functional integro-differential equations

... of existence, uniqueness and other qualitative properties of solutions for semilinear differential equations in Banach spaces has been studied ex- tensively in the literature for last many years, ... See full document

7

Approximate controllability  of nonlocal impulsive fractional neutral stochastic integro-differential equations   with state-dependent delay in Hilbert spaces

Approximate controllability of nonlocal impulsive fractional neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces

... days, existence and controllability results of mild solutions for such problems became very attractive and several researchers working on ...the existence results for fractional ... See full document

28

Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions

Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions

... the existence of at least one continuous mild solution to Problem (1) by applying the nonlinear alternative fixed point theorem of Leray- Schauder type, and we promote our outcomes to Problem ... See full document

15

Multiple solutions for impulsive semilinear functional and neutral functional differential equations in Hilbert space

Multiple solutions for impulsive semilinear functional and neutral functional differential equations in Hilbert space

... the existence of mild solutions of some classes of initial value problem for first- and second-order impulsive semilinear functional and neutral functional differential ...order ... See full document

17

Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

... such effects are not taken into ...of existence and uniqueness of solutions to the analytic and numerical methods for finding solutions, have appeared in the literature, for instance, see ... See full document

10

Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions

Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions

... the nonlocal problems. They studied and obtained the existence and uniqueness of mild solutions for nonlocal differential ...the nonlocal problems have better effects in ... See full document

9

Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions

Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions

... the existence of solutions for the im- pulsive fractional evolution equations with nonlocal initial conditions by using the mono- tone iterative technique in the presence of lower and upper ...lower ... See full document

12

Existence and Uniqueness of Solutions to Impulsive Fractional Integro Differential Equations with Nonlocal Conditions

Existence and Uniqueness of Solutions to Impulsive Fractional Integro Differential Equations with Nonlocal Conditions

... the existence and uniqueness of mild and classical solutions of nonlocal Cauchy ...the nonlocal condition can be more useful than the standard initial condition to de- scribe some ... See full document

5

Topological properties of \(C^{0}\)-solution set for impulsive evolution inclusions

Topological properties of \(C^{0}\)-solution set for impulsive evolution inclusions

... of impulsive differential equations and ...the existence of integral solutions on a compact interval for the differential inclusions involv- ing equicontinuous (not compact) ...the existence of ... See full document

28

Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition

Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition

... abstract nonlocal semi linear initial value problems was originated by Byszewsk [4, 5, 6] and subsequently, many authors have tracked his ...better effects in applications than traditional ones ...the ... See full document

9

Existence of solutions for fractional impulsive integro-differential systems

Existence of solutions for fractional impulsive integro-differential systems

... Murugesu, Existence of mild solutions for nonlocal Cauchy problem for fractional neutral integro-differential equation with unbounded delay, ... See full document

10

Existence of mild solution for nonlocal impulsive fractional semilinear differential inclusion in Banach space

Existence of mild solution for nonlocal impulsive fractional semilinear differential inclusion in Banach space

... the existence of PC-mild solutions of nonlocal impulsive differential inclu- sions in Banach space when the values of the orient field is convex ...of semilinear differential ... See full document

16

A second order impulsive Cauchy problem

A second order impulsive Cauchy problem

... [1] A. Cabada, J. J. Nieto, D. Franco, and S. I. Trofimchuk, A generalization of the monotone method for second order periodic boundary value problem with impulses at fixed points, Dynam. Contin. Discrete Impuls. ... See full document

11

Global existence of solutions for a fractional Caputo nonlocal thermistor problem

Global existence of solutions for a fractional Caputo nonlocal thermistor problem

... Definition . (See []) Let u(t) on (, β) and u(t) on (, ˜ β) be both solutions of (). ˜ If β < β ˜ and u(t) = u(t) for ˜ t ∈ (, β), then we say that u(t) can be continued to (, ˜ β ˜ ). A solution u(t) ... See full document

14

Approximate Controllability of Random Impulsive Integro Semilinear Differential Systems

Approximate Controllability of Random Impulsive Integro Semilinear Differential Systems

... The paper will be organized as follows: In section 2, we recall briefly the notations, definitions, preliminary facts which are used throughout this paper. In section 3, we study the approximate controllability of ... See full document

8

Existence of mild solutions for fractional evolution equations with nonlocal conditions

Existence of mild solutions for fractional evolution equations with nonlocal conditions

... The rest of this paper is organized as follows. In Section , some preliminaries are given on the fractional power of the generator of an analytic semigroup and on the mild solutions of Eq. (). In Section ... See full document

12

Existence and uniqueness of solutions for random impulsive differential equation

Existence and uniqueness of solutions for random impulsive differential equation

... the existence and uniqueness of solution of random impulsive differential equation by reducing the linear growth ...the impulsive terms in the deriving ... See full document

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