Description

• Title:
  On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order
• Creator:
  Rzepka, Beata
• Description:
  We study the existence of solutions of a nonlinear quadratic Volterra integral equation of fractional order. In our considerations we apply the technique of measures of noncompactness in conjunction with the classical Schauder fixed point principle. The mentioned equation is considered in the Banach space of real functions defined, continuous and bounded on an unbounded interval. We will show that solutions of the investigated integral equation are locally attractive.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 32, No 1 (September 2008); 89 - 102;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.037/8794
• Subject:
  Quadratic integral Volterra equation of fractional order;
  measure of noncompactness;
  local attractivity;
  asymptotic stability;
  Primary 45G05;
  Secondary 47H09
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.037
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other