Periodic solutions of a fractional neutral equation with finite delay
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- 作者：Verónica Poblete (1)
Juan C. Pozo (1) - 关键词：34K40 ; 39A23 ; 34K37 ; Maximal regularity ; Fourier multipliers ; Strong solutions ; Fractional neutral equations
- 刊名：Journal of Evolution Equations
- 出版年：2014
- 出版时间：June 2014
- 年：2014
- 卷：14
- 期：2
- 页码：417-444
- 全文大小：
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Juan C. Pozo (1)
1. Facultad de Ciencias, Universidad de Chile, Las Palmeras, 3425, Santiago, Chile - ISSN：1424-3202
文摘
In this paper, we prove the maximal regularity property of an abstract fractional differential equation with finite delay on periodic Besov and Triebel–Lizorkin spaces and use these results to guarantee the existence and uniqueness of periodic solution of a neutral fractional differential equation with finite delay. The main tool used to achieve our goal is an operator-valued version of Miklhin’s Fourier multiplier theorem and fixed-point argument.