[PDF] Top 20 Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations
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Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations
... the fractional differential equations have been proved to be valuable tools in the investigation of many phenomena in engineering and physics; they attracted many researchers ...and nonautonomous ... See full document
17
The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)
... In short, we have proved that {S()} is relatively compact for {(Su)(t) : u ∈ } is a family of equicontinuous function. Hence by the Arzela-Ascoli theorem, S is compact. As all the conditions of Krasnoselskii’s fixed point ... See full document
15
Existence of mild solutions for fractional impulsive neutral 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 the frac- tional calculus. In Section , we study ... See full document
16
Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half line
... the fractional differential equations () and () with nonlocal conditions on the unbounded ...of problem () is ...abstract fractional differential equations ... See full document
17
Controllability for a new class of fractional neutral integro differential evolution equations with infinite delay and nonlocal conditions
... ear evolution equations in infinite dimensional spaces ...the nonlocal conditions may be connected with better effect in physical science than the classical initial conditions, since nonlocal ... See full document
22
Existence of mild solutions for fractional evolution equations with nonlocal conditions
... the nonlocal initial condition, in many cases, has much better effect in applications than the traditional initial ...the nonlocal initial value problems can be more useful than the standard initial value ... See full document
12
Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions
... the problem (.) comes form physics. For example, fractional diffusion equations are abstract partial differential equations that involve frac- tional derivatives in space and ...time ... See full document
12
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 ...Although, fractional calculus is a topic being more than 300 ... See full document
9
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 ...studied ... See full document
20
Hölder Regularity for Abstract Fractional Cauchy Problems with Order in (0,1)
... Many evolution equations can be rewritten as an abstract Cauchy problem, and then they can be studied in an unified ...order Cauchy problem, in which the governing operator ... See full document
10
Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval
... Now, nonlocal evolution equations of fractional order have become one of the hot re- search topics in the field of differential equations with fractional derivatives, which play a ... See full document
13
Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations with nonlocal Condition
... tions were initiated by Byszewski [3] when he proved the existence and uniqueness of mild and classical solutions of nonlocal Cauchy problems. As remarked by Byszewski [4, 5],the nonlocal condition ... See full document
11
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
16
A Cauchy Problem for Some Fractional q Difference Equations with Nonlocal Conditions
... In this paper, we discussed the problem of nonlocal value for nonlinear fractional q-difference equation. The classical tools of fixed point theorems such as Krasnoselskii’s theorem and Banach’s ... See full document
7
Nonlocal cauchy problem for delay fractional integrodifferential equations of neutral type
... integrodifferential equations of neutral type with finite delay and nonlocal conditions in a Banach space X . The existence of mild solutions is proved by means of measure of noncompactness. As an ... See full document
23
Nonlocal Impulsive Cauchy Problems for Evolution Equations
... Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact ... See full document
17
Fractional neutral evolution equations with nonlocal conditions
... The nonlocal condition, which is a generalization of the classical condition, was motivated by physical ...on nonlocal conditions is due to Byszewski (see ...semilinear evolution equations ... See full document
10
Upper and lower solution method for Hilfer fractional evolution equations with nonlocal conditions
... Hilfer fractional evolution equations by applying the monotone iterative technique and the method of upper and lower ...Hilfer fractional evolution equations with nonlo- cal ... See full document
25
Existence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses
... In describing some phenomena and processes of many fields such as physics, chemistry, aerodynamics, electrodynamics of a complex medium, polymer rheology, capacitor the- ory, electrical circuits, biology, control theory, ... See full document
13
A note on the initial value problem of fractional evolution equations
... for fractional evolution equa- tions; up to now the continuous dependence of mild solutions on parameters for fractional evolution equations has not been considered in the ... See full document
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