Pseudo almost automorphy of two-term fractional functional differential equations |
| |
Authors: | Zhinan Xia and Jinliang Chai |
| |
Institution: | Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang, 310023, China,Zhijiang College, Zhejiang University of Technology, Shaoxing, Zhejiang, 312000, China |
| |
Abstract: | In this paper, by measure theory, we introduce and investigate the concepts of (Stepanov-like) $(\mu,\nu)$-pseudo almost automorphic of class $r$ and class infinity, respectively. As applications, we establish some sufficient criteria for the existence, uniqueness of pseudo almost automorphic mild solutions to two-term fractional functional differential equations with finite or infinite delay. The working tools are based on the generalization of semigroup theory, Banach contraction mapping principle and Leray-Schauder alternative theorem. Finally, we explore the same topic for a fractional partial functional differential equation with delay. |
| |
Keywords: | Pseudo almost automorphy fractional functional differential equations Leray-Schauder alternative theorem generalized semigroup theory sectorial operator |
|
| 点击此处可从《Journal of Applied Analysis & Computation》浏览原始摘要信息 |
| 点击此处可从《Journal of Applied Analysis & Computation》下载免费的PDF全文 |
|