Description

• Title:
  Uniform stability for fractional Cauchy problems and applications
• Creator:
  Abadias, Luciano;
  Alvarez, Edgardo
• Description:
  In this paper we give uniform stable spatial bounds for the resolvent operator families of the abstract fractional Cauchy problem on $\mathbb{R}_+$. Such bounds allow to prove existence and uniqueness of $\mu$-pseudo almost automorphic $\epsilon$-mild regular solutions to the nonlinear fractional Cauchy problem in the whole real line. Finally, we apply our main results to the fractional heat equation with critical nonlinearities.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.11.24
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 52, No 2 (December 2018); 707 - 728;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.038/16094 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.038/16095
• Subject:
  Fractional Cauchy problem;
  uniform stability;
  $\mu$-pseudo almost automorphic functions;
  resolvent operator families;
  mild solutions;
  34A08;
  43A60;
  47D06;
  34G20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.038
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other