Description

• Title:
  Existence of solutions for a fractional hybrid boundary value problem via measures of noncompactness in Banach algebras
• Creator:
  Caballero, Josefa;
  Darwish, Mohamed Abdalla;
  Sadarangani, Kishin
• Description:
  We study the existence of solutions for the following fractional hybrid boundary value problem $$ \cases \displaystyle D_{0^+}^{\alpha}\bigg[\frac{x(t)}{f(t,x(t))}\bigg]+g(t,x(t))=0, &0< t< 1,\\ x(0)=x(1)=0, \endcases $$ where $1< \alpha\leq 2$ and $D_{0^+}^{\alpha}$ denotes the Riemann-Liouville fractional derivative. The main tool is our study is the technique of measures of noncompactness in the Banach algebras. Some examples are presented to illustrate our results. Finally, we compare the results of paper with the ones obtained by other authors.
• 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 43, No 2 (June 2014); 535 - 548;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.031/8145
• Subject:
  Banach algebras;
  Riemann-Liouville fractional derivative;
  measure of noncompactness;
  hybrid boundary value problem;
  45G10;
  45M99;
  47H09
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.031
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other