[PDF] Top 20 Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations
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Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations
... Recently, fractional differential equations have been investigated ...of fractional cal- culus itself and the applications of such constructions in various sciences such as physics, chemistry, ... See full document
14
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 and regularity of periodic solutions for neutral evolution equations with delays
... the abstract neutral evolution equation ...partial neutral differential equations can be written as first-order ab- stract neutral functional differential equations on an ... See full document
21
Existence of positive mild solutions for a class of fractional evolution equations on the half line
... of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing ...upper solutions, we present some new results on the ... See full document
14
Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay
... nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional derivative, which generalizes the famous Riemann-Liouville fractional ...of mild ... See full document
20
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- ... See full document
16
Existence of mild solutions for fractional nonlocal evolution equations with delay in partially ordered Banach spaces
... Let (X, ≤ , · ) be a partially ordered normed linear space. Two elements x, y in X are said to be comparable if either x ≤ y or y ≤ x. A function Ψ : X → X is said to be upper semi- continuous (u.s.c.) if the set ... See full document
10
Existence of mild solutions to partial neutral differential equations with non-instantaneous impulses
... the existence of mild solution for a class of semi-linear abstract differential equa- tion with non-instantaneous impulses by using the theory of analytic ...the existence of solutions ... See full document
7
The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)
... Theorem . (Krasnoselskii’s fixed point theorem) Let M be a closed convex and nonempty subset of a Banach space X . Let A, B be the operators such that (i) Ax + By ∈ M whenever x, y ∈ M; (ii) A is compact and ... See full document
15
Existence results for Riemann Liouville fractional neutral evolution equations
... the fractional power of operators and the theory of measure of noncompactness, we discuss a class of fractional neutral evolution equations with Riemann-Liouville fractional ... See full document
16
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 ...An existence result of mild solutions to such problems is obtained under the ... See full document
15
Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
... the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition and noncompact ...the existence theorems of mild ... See full document
22
Existence of mild solutions for fractional impulsive neutral evolution equations with nonlocal conditions
... decades, fractional differential equations have been proved to be valu- able tools in the modeling of many phenomena in various fields of engineering, physics, and economics, and hence they have gained ... See full document
16
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
On the \(\mathcal{PC}\)-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness
... differential equations to describe some certain dynamic change of evolution processes in the pharmacotherapy (as therapy using pharmaceutical ...the existence of global solutions for a class of ... See full document
23
Existence and continuous dependence for weighted fractional differential equations with infinite delay
... Recently, fractional differential equations have attracted a considerable interest in both mathematics and applications, since they have been proved to be valuable tools in mod- eling many physical ...in ... See full document
13
Mild solutions of fractional evolution equations on an unbounded interval
... Consider F : Q ∞ → Q ∞ . From the above arguments, we see that all the conditions of the Tichonov fixed-point theorem are satisfied. Therefore F has at least one fixed point x in Q ∞ , which is the mild solution of ... See full document
10
Existence of positive periodic solutions for abstract evolution equations
... periodic solutions of partial differential equations has become an important area of investigation in recent ...of abstract evolution equations in the form of ... See full document
12
Existence results for fractional differential equations with infinite delay and interval impulsive conditions
... differential equations arise in many engineering and scientific disciplines as the mathemati- cal modeling of systems and processes in the fields of physics, chemistry, aerodynamics, electrodynamics of a complex ... See full document
8
$L^p$-existence of mild solutions of fractional differential equations in Banach space
... of fractional differential equations has attracted much authors due to their applications in valuable to various fields of science and engineering, see for example [3, 6, 7, 8, ...different existence ... See full document
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