Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations

被引：0

作者：

Fei Xiao

机构：

[1] University of Science and Technology of China,Department of Mathematics

来源：

Advances in Difference Equations | / 2011卷

关键词：

Probability Density Function; Fractional Order; Fixed Point Theorem; Mild Solution; Fractional Differential Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the mild solutions of a nonlocal Cauchy problem for nonautonomous fractional evolution equations [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], in Banach spaces, where [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext]. New results are obtained by using Sadovskii's fixed point theorem and the Banach contraction mapping principle. An example is also given.

引用

共 50 条

[31] Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions
Li, Fang
ABSTRACT AND APPLIED ANALYSIS, 2013,
[32] Nonlocal Problem for Fractional Stochastic Evolution Equations with Solution Operators
Pengyu Chen
Xuping Zhang
Yongxiang Li
Fractional Calculus and Applied Analysis, 2016, 19 : 1507 - 1526
[33] Study of fractional order impulsive evolution problem under nonlocal Cauchy conditions
Shah, Kamal
Ullah, Atta
Nieto, Juan J.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 8516 - 8527
[34] NONLOCAL PROBLEM FOR FRACTIONAL STOCHASTIC EVOLUTION EQUATIONS WITH SOLUTION OPERATORS
Chen, Pengyu
Zhang, Xuping
Li, Yongxiang
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (06) : 1507 - 1526
[35] Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces
Liang, Jin
Liu, James H.
Xiao, Ti-Jun
Xu, Hong-Kun
ANALYSIS AND APPLICATIONS, 2017, 15 (04) : 457 - 475
[36] Nonlocal Cauchy problem for second order stochastic evolution equations in Hilbert spaces
Balasubramaniam, P.
Park, J. Y.
DYNAMIC SYSTEMS AND APPLICATIONS, 2007, 16 (04): : 713 - 728
[37] Nonlocal cauchy problem for second order integrodifferential evolution equations in banach spaces
Balachandran, K.
Kim, J. -H.
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (05): : 1343 - 1357
[38] Optimal controls for nonlocal Cauchy problems of multi-term fractional evolution equations
Chen, Siqi
Chang, Yong-Kui
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2022, 39 (03) : 912 - 929
[39] Cauchy problem for fractional diffusion equations
Eidelman, SD
Kochubei, AN
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 199 (02) : 211 - 255
[40] Semilinear integrodifferential equations with nonlocal Cauchy problem
Nonlinear Anal Theory Methods Appl, 5 (1023):

← 1 2 3 4 5 →