Description

• Title:
  Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results
• Creator:
  Carvalho, Alexandre Nolasco;
  Carvalho-Neto, Paulo M. Carvalho-Neto;
  Marín-Rubio, Pedro;
  Andrade, Bruno de
• Description:
  In this work we study several questions concerning to abstract fractional Cauchy problems of order $\alpha\in(0,1)$. Concretely, we analyze the existence of local mild solutions for the problem, and its possible continuation to a maximal interval of existence. The case of critical nonlinearities and corresponding regular mild solutions is also studied. Finally, by establishing some general comparison results, we apply them to conclude the global well-posedness of a fractional partial differential equation coming from heat conduction theory.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 45, No 2 (June 2015); 439 - 467;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.022/7454
• Subject:
  Fractional differential equations;
  semilinear equations;
  comparison results;
  critical nonlinearities;
  Primary;
  34A08;
  34G20;
  Secondary;
  35K05;
  35B09
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.022
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other