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Existence of mild solutions for fractional neutral evolution equations

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WOS被引频次:249
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成果类型:
期刊论文
作者:
Zhou, Yong;Jiao, Feng
通讯作者:
Zhou, Y.(yzhou@xtu.edu.cn)
作者机构:
[Zhou, Yong ; Jiao, Feng ] Department of Mathematics, Xiangtan University, Xiangtan, Hunan 411105, China
通讯机构:
[Zhou, Y] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China.
语种:
英文
关键词:
Analytic semigroup - Fractional neutral evolution equations - Mild solution - Neutral evolution - Nonlocal Cauchy problem - Probability densities
期刊:
Computers and Mathematics with Applications
ISSN:
0898-1221
年:
2010
卷:
59
期:
3
页码:
1063-1077
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:000274767000004;EI:20100312640057
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, by using the fractional power of operators and some fixed point theorems, we discuss a class of fractional neutral evolution equations with nonlocal conditions and obtain various criteria on the existence and uniqueness of mild solutions. In the end, we give an example to illustrate the applications of the abstract results. ©2009 Elsevier Ltd. All rights reserved.
参考文献:
Baeumer B., 2005, J FRAC APPL ANAL, V8, P375
BYSZEWSKI L, 1991, J MATH ANAL APPL, V162, P494, DOI 10.1016/0022-247X(91)90164-U
Byszewski L., 1990, APPL ANAL, V40, P11, DOI DOI 10.1080/00036819008839989
Diethelm K, 1999, SCI COMPUTING CHEM E, P217
Eidelman SD, 2004, J DIFFER EQUATIONS, V199, P211, DOI 10.1016/j.jde.2003.12.002

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