Description

• Title:
  Topological structure of solution set for a class of fractional neutral evolution equations on the half-line
• Creator:
  Hoa, Le Hoan;
  Trong, Nguyen Ngoc;
  Truong, Le Xuan
• Description:
  A topological structure of the set of all mild solutions of fractional neutral evolution equations with finite delay on the half-line is investigated. We show that the solution set is an R$_\delta$-set. It is proved on compact intervals by establishing a result on topological structure of fixed point set of Krasnosel'skiĭ type operators. Next, using the inverse limit method, we obtain the same result on the half-line.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.07.03
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 1 (September 2016); 235 - 255;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.044/9209 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.044/9210
• Subject:
  Topology structure;
  solution set;
  fractional differential equation;
  Krasnosel'skiĭ type operator;
  34A12;
  34G20;
  34A08
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.044
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other