[PDF] Top 20 Existence of mild solutions for fractional nonlocal evolution equations with delay in partially ordered Banach spaces
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Existence of mild solutions for fractional nonlocal evolution equations with delay in partially ordered Banach spaces
... differential equations with different type of boundary conditions have an extensive physical background and realistic applications, and the theory has been considerably developed in recent years ...the ... See full document
10
The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)
... If X is an ordered Banach space with the norm · . Let P be a cone in which defined a partial ordering in X by x ≤ y if and only if y – x ∈ P. P is said to be normal if there exists a positive constant N such ... See full document
15
Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces
... without delay and A is an almost sectorial operator, Wang et ...proved existence and controllability results for ...without delay and with local condition, Zhang et ...without delay, F is a ... See full document
17
Existence of mild solutions for fractional impulsive neutral evolution equations with nonlocal conditions
... the fractional power of an operator and some fixed point theorems, we study the existence of mild solutions for the nonlocal problem of Caputo fractional impulsive neutral ... 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
13
Existence of solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions
... the existence of mild solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions in Banach ...of evolution ... See full document
8
Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces
... the existence of PC-mild solutions for non local fractional impulsive functional integro-differential equations with finite ...the mild solution of the system taking care of all ... See full document
20
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 ... See full document
12
Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces
... of fractional differential equations has been subjected to an intensive devel- opment of the theory and the applications (see, for example, [–] and the references ...on fractional calculus are de- ... See full document
8
Existence results for fractional neutral functional integro differential evolution equations with infinite delay in Banach spaces
... the existence of solutions for fractional semilinear differential or integro- differential equations is one of the theoretical fields investigated by many authors [, ...with nonlocal ... See full document
12
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 ...with) delay conditions ...with ... See full document
16
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
Existence of periodic solutions for impulsive evolution equations in ordered Banach spaces
... the existence of ω-periodic mild solutions for the impulsive evolution equation ...pulsive evolution equation under the impulsive functions satisfying ...the evolution ... See full document
18
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
Existence results for fractional differential equations with infinite delay and interval impulsive conditions
... differential equations has attracted a great deal of attention in fractional dynamics and its theory has been treated in several works [5], ...non-linear fractional integro differential ... See full document
8
Existence of mild solutions for fractional evolution equations with nonlocal conditions
... a Banach space with norm · , and let –A : D(A) ⊂ X → X be the infinitesimal generator of an analytic semigroup S(t) (t ≥ ) of a uniformly bounded linear operator in X, that is, there exists M ≥ such that S(t) ≤ ... See full document
12
Quasilinear Delay Differential Equations with Nonlocal Conditions via Measures of Non Compactness
... differential equations with nonlocal condition using measure of ...the existence results for quasilinear delay differential and integrodifferential equations with nonlocal ... See full document
5
Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
... upper solutions, we present some new results on the existence of positive mild solutions for the abstract fractional evolution equations ...of fractional order on ... See full document
15
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces
... Proof. The hypotheses imply by Lemma 2.1 that P has an order center, and that G[P] is relatively well-order complete in P. Thus the assertions follow from [9, Proposition 2.3], whose proof is based on a recursion method ... See full document
15
New results for fractional evolution equations using Banach fixed point theorem
... of fractional differential equations is a new branch of mathematics by which many physical phenomena in various fields of science and engineering can be ...of fractional evolution ... See full document
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