Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations

被引：4

作者：

Xiao, Fei ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2011年

关键词：

INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-EQUATIONS; PERTURBATIONS;

D O I：

10.1155/2011/483816

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the mild solutions of a nonlocal Cauchy problem for nonautonomous fractional evolution equations d(q)u(t)/dt(q) = -A(t)u(t) + f(t, (K(1)u)(t), (K(2)u)(t), ... , (K(n)u)(t)), t is an element of I = [0, T], u(0) = A(-1)(0)g(u) + u(0), in Banach spaces, where T > 0, 0 < q < 1. New results are obtained by using Sadovskii's fixed point theorem and the Banach contraction mapping principle. An example is also given.

引用

页数：17

共 30 条

[1] A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative
Agarwal, Ravi P.
Belmekki, Mohammed
Benchohra, Mouffak
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2009, : 1 - 47
[2] Anguraj J., 2009, Comm. in Math. Anal, V6, P31
[3] [Anonymous], APPL MATH SCI
[4] [Anonymous], J APPL MATH STOCH AN
[5] [Anonymous], 1980, Lect. Notes Pure Appl. Math.
[6] Multivalued perturbations of m-accretive differential inclusions
Bothe, D
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1998, 108 (1) : 109 - 138
[7] Byszewski L., 1991, Applicable Analysis, V40, P11
[8] Diagana T, 2009, DIFFER EQUAT APPL, V1, P561
[9] Some probability densities and fundamental solutions of fractional evolution equations
El-Borai, MM
[J]. CHAOS SOLITONS & FRACTALS, 2002, 14 (03) : 433 - 440
[10] Impulsive problems for semilinear differential equations with nonlocal conditions
Fan, Zhenbin
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 1104 - 1109

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