[PDF] Top 20 Existence of positive mild solutions for a class of fractional evolution equations on the half line
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Existence of positive mild solutions for a class of fractional evolution equations on the half line
... of fractional integral and fractional derivative, some results about fractional differential equations and some useful ...the existence result of the solution for problem ... See full document
14
Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
... 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
Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half line
... the existence and uniqueness results based on an equiva- lent integral equation for a class of fractional evolution equations, which was described in terms of some probability densities ... See full document
17
Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations
... In this section we use the property of the three-parametric Mittag–Leffler function to establish the existence results for mild solutions to the equation (1.1)–(1.2). Let | · | be the norm of the ... See full document
13
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 of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay
... a class of nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional derivative, which generalizes the famous Riemann-Liouville fractional ... See full document
20
Existence of two positive solutions for a class of second order impulsive singular integro-differential equations on the half line
... differential equations has been emerging as an important area of investigation in recent years (see ...differential equations, impulsive functional differential equations and impulsive differential ... See full document
23
Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
... known, fractional differential equations has been widely applied to various fields of physical, engineering, biology, chemistry, ...the solutions for fractional differential equa- ...regards ... See full document
19
Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half line
... one positive solution subject to the assumptions: f : [, ∞) × R → [, ∞) is continuous; and there exist a nondecreasing function ω ∈ C([, ∞), [, ∞)) and a function φ ∈ L [, ∞) such that |f (t, ( + t α– ... See full document
19
Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line
... Recently, fractional differential equations have also aroused great interest; see ...the existence of positive solutions for nonlinear fractional differential equation boundary ... See full document
16
Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation
... the fractional calculus reported below are not exhaustive but rather oriented to the subject of this ...The fractional primitive of order q > of function x(t) ∈ C –q ([, T], X) is given ... See full document
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On the \(\mathcal{PC}\)-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness
... new class of non- instantaneous impulsive differential equations to describe some certain dynamic change of evolution processes in the pharmacotherapy (as therapy using pharmaceutical ...the ... See full document
23
Existence of mild solutions for Sobolev-type Hilfer fractional evolution equations with boundary conditions
... Hilfer fractional differential equations have received much atten- ...Riemann–Liouville fractional derivative, for short, Hilfer fractional derivative, which includes the Riemann–Liouville ... See full document
25
Existence of two positive solutions for a class of third-order impulsive singular integro-differential equations on the half-line in Banach spaces
... the existence of two positive solutions for an infinite boundary value problem of third-order impulsive singular integro-differential equations on the half-line in Banach spaces by ... See full document
31
Mild solutions of fractional evolution equations on an unbounded interval
... This paper is concerned with the existence results for mild solutions of semilinear fractional evolution equations on an unbounded interval. The methods used in the paper are ... See full document
10
Existence of mild solutions for fractional nonlocal evolution equations with delay in partially ordered Banach spaces
... by positive cone. By the closed property of positive cone, we obtain the regularity (see Definition ) of the partially ordered Banach ...of positive cone, we see that the order relation and the norm ... See full document
10
Positive solutions of fractional differential equations at resonance on the half-line
... the existence of solutions of fractional differential equations on the half-line are still few, and most of them deal with the problems under nonresonance ... See full document
13
The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)
... Thus, for t ∈ J, {(u)(t) : u ∈ Q} is a family of equicontinuous function. We have proved that { (Q) } is relatively compact. Hence by the Arzela-Ascoli theorem, is compact. Schauder’s fixed point theorem allows us to ... See full document
15
6. Bounded Solutions for Fractional Order Differential Equations on the Half-Line
... the existence of bounded solutions for a class of initial value problem on the half-line for fractional differential equations involving Caputo fractional derivative ... See full document
10
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
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