Description

• Title:
  Abstract Cauchy problem for fractional functional differential equations
• Creator:
  Zhou, Yong;
  Jiao, Feng;
  Pečarić, Josip
• Description:
  In this paper, the existence and continuation of solutions for the Cauchy initial value problem of fractional functional differential equations in an arbitrary Banach space is discussed under hypotheses based on Carathéodory condition and the measure of noncompactness. In addition, an example is given to show that the criteria on existence of solutions for the initial value problem of fractional differential equations in finite-dimensional spaces may not be true in infinite-dimensional cases.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2013.04.22
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 42, No 1 (September 2013); 119 - 136;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.028/8332
• Subject:
  Fractional functional differential equations;
  Banach spaces;
  measure of noncompactness;
  existence;
  continuation;
  34A12;
  34K30;
  26A33
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.028
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other