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A class of fractional evolution equations and optimal controls

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成果类型:
期刊论文
作者:
JinRong Wang;Yong Zhou(周勇
通讯作者:
Zhou, Y.(yzhou@xtu.edu.cn)
作者机构:
[Yong Zhou] Department of Mathematics, Xiangtan University, Xiangtan, Hunan 411105, China
[JinRong Wang] Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, China
通讯机构:
[Zhou, Yong] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China.
语种:
英文
关键词:
Fractional evolution equations;Analytic compact semigroup;Fractional power space;alpha-mild solutions;Optimal controls
期刊:
Nonlinear Analysis: Real World Applications
ISSN:
1468-1218
年:
2011
卷:
12
期:
1
页码:
262-272
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:000284292000022;EI:20104213314067
基金类别:
National Natural Science Foundation of PR China [10971173]; National Natural Science Foundation of Guizhou Province [2142]; Youth Teachers Natural Science Foundation of Guizhou University [083]
机构署名:
本校为通讯机构
院系归属:
数学与计算科学学院
摘要:
This paper concerns the existence of mild solutions for semilinear fractional evolution equations and optimal controls in the α-norm. A suitable α-mild solution of the semilinear fractional evolution equations is introduced. The existence and uniqueness of α-mild solutions are proved by means of fractional calculus, singular version Gronwall inequality and LeraySchauder fixed point theorem. The existence of optimal pairs of system governed by fractional evolution equations is also presented. Finally, an example is given for demonstration. ©2010 Published by Elsevier Ltd. All rights reserved.
参考文献:
Anguraj A., 2009, COMMUNICATIONS MATH, V6, P31
Balachandran K, 2009, NONLINEAR ANAL-THEOR, V71, P4471, DOI 10.1016/j.na.2009.03.005
Benchohra M., 2008, FRACT CALC APPL ANAL, V11, P35
BENCHOHRA M, 2008, ANALYSIS, V338, P1340
Chang YK, 2009, NONLINEAR ANAL-THEOR, V71, P5551, DOI 10.1016/j.na.2009.04.058

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