Description

• Title:
  Nondecreasing solutions of fractional quadratic integral equations involving Erdélyi-Kober singular kernels
• Creator:
  Xin, Jie;
  Zhu, Chun;
  Wang, JinRong;
  Chen, Fulai
• Description:
  In this paper, we firstly present the existence of nondecreasing solutions of a fractional quadratic integral equations involving Erdélyi-Kober singular kernels for three provided parameters $\alpha\in ({1}/{2},1)$, $\beta\in (0,1]$ and $\gamma\in [\beta(1-\alpha)-1,\infty)$. Moreover, we prove this restriction on $\alpha$ and $\beta$ can not be improved. Secondly, we obtain the uniqueness and nonuniqueness of the monotonic solutions by utilizing a weakly singular integral inequality and putting $\gamma\in [{1}/{2}-\alpha,\infty)$. Finally, two numerical examples are given to illustrate the obtained results.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 44, No 1 (September 2014); 73 - 88;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.036/8150
• Subject:
  Fractional quadratic integral equations;
  Erdélyi-Kober singular kernels;
  nondecreasing solutions;
  measure of noncompactness;
  26A33;
  45G05;
  47H30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.036
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other