Existence of anti-periodic mild solutions for a class of semilinear fractional differential equations

被引：22
作者：
Cao, Junfei [1 ]
Yang, Qigui [1 ]
Huang, Zaitang [1 ,2 ]
机构：
[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
[2] Wuzhou Univ, Sch Math & Phys, Wuzhou 543002, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Anti-periodic mild solutions; Semilinear fractional differential equations; Solution operator; Fractional integral; PERIODIC-SOLUTIONS; AUTOMORPHIC SOLUTIONS; CAUCHY-PROBLEM; UNIQUENESS;
D O I：
10.1016/j.cnsns.2011.05.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is concerned with the existence of anti-periodic mild solutions for a class of semilinear fractional differential equations D-t(alpha)chi(t) = A chi(t) + Dt alpha-1F(t, chi(t)). t epsilon R, where 1 < alpha < 2, A is a linear densely defined operator of sectorial type of omega < 0 on a complex Banach space X and F is an appropriate function defined on phase space, the fractional derivative is understood in the Riemann-Liouville sense. The results obtained are utilized to study the existence of anti-periodic mild solutions to a fractional relaxation-oscillation equation. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：277 / 283
页数：7
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