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Nonlocal Cauchy problem for fractional evolution equations

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WOS被引频次:270
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成果类型:
期刊论文
作者:
Zhou, Yong;Jiao, Feng
通讯作者:
Zhou, Y
作者机构:
[Zhou, Yong; Jiao, Feng] Department of Mathematics, Xiangtan University, Xiangtan, Hunan 411105, China
通讯机构:
[Zhou, Yong] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China.
语种:
英文
关键词:
Evolution equations - Fractional evolution equations - Mild solution - Nonlocal Cauchy problem - Probability densities - Semi-group
期刊:
Nonlinear Analysis: Real World Applications
ISSN:
1468-1218
年:
2010
卷:
11
期:
5
页码:
4465-4475
文献类别:
WOS:Article;EI:Journal article (JA)
所属学科:
ESI学科类别:数学;WOS学科类别:Mathematics, Applied
入藏号:
WOS:000281390000103;EI:20103313153846
基金类别:
National Natural Science Foundation of PR China [10971173]
机构署名:
本校为第一且通讯机构
院系归属:
数学与计算科学学院
摘要:
In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution equations in an arbitrary Banach space and various criteria on the existence and uniqueness of mild solutions are obtained. An example to illustrate the applications of main results is also given. ©2009 Elsevier Ltd. All rights reserved.
参考文献:
Agarwal RP, 2010, NONLINEAR ANAL-THEOR, V72, P2859, DOI 10.1016/j.na.2009.11.029
Ahmad B, 2009, BOUND VALUE PROBL, DOI 10.1155/2009/708576
Ahmad B, 2009, ABSTR APPL ANAL, DOI 10.1155/2009/494720
Ahmad B, 2009, COMPUT MATH APPL, V58, P1838, DOI 10.1016/j.camwa.2009.07.091
Baeumer B., 2005, J FRAC APPL ANAL, V8, P375

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