Description

• Title:
  Topological degree for some parabolic equations with Riemann-Liouville time-fractional derivatives
• Creator:
  Charkaoui, Abderrahim;
  Ben-loghfyry, Anouar
• Description:
  This work tackles a class of nonlinear parabolic equations in divergence form having fractional time order derivatives. We consider parabolic equations involving second-order spacial operators with Riemann-Liouville time-fractional derivatives. We establish the existence and uniqueness of weak solutions to the studied models. Our theoretical approach relies essentially on the use of Leray-Schauder topological degree and involves some new technical estimates.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2024 Abderrahim Charkaoui, Anouar Ben-loghfyry;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2024.09.25
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 64, No 2 (December 2024); 597 - 619;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/55392/39872 ;https://apcz.umk.pl/TMNA/article/view/55392/39873
• Subject:
  time-fractional derivatives;
  Riemann-Liouville;
  weak solutions;
  topological degree;
  Faedo-Galerkin method;
  fractional problems;
  Primary: 47J35, 35K55;
  Secondary: 35B10, 35D30, 35A16
• Identifier: https://apcz.umk.pl/TMNA/article/view/55392
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other