Description

• Title:
  Topological characteristics of solution sets for fractional evolution equations and applications to control systems
• Creator:
  Zhu, Shouguo;
  Fan, Zhenbin;
  Li, Gang
• Description:
  This paper explores an abstract Riemann-Liouville fractional evolution model with a weighted delay initial condition. We develop the resolvent technique, a generalization of semigroup method, to formulate an appropriate notion of mild solutions to this abstract system and present the topological characteristics of the corresponding solution set in a weighted space. Furthermore, in view of the topological characteristics, we analyze the approximate controllability of the abstract system without Lipschitz assumption. We end up addressing an infinite dimensional fractional delay diffusion control system and a finite dimensional fractional ordinary differential control system by utilizing our theoretical findings.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.06.20
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 1 (September 2019); 177 - 202;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.033/17751 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.033/17752
• Subject:
  Fractional diffusion control system;
  approximate controllability;
  resolvent;
  $R_{\delta}$-set;
  34K37;
  47D99;
  93B05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.033
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other