Description

• Title:
  Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps
• Creator:
  Jonnalagadda, Jagan Mohan
• Description:
  In this article, we analyse an $\alpha$-th order, $1 < \alpha \leq 2$, nabla fractional three-point boundary value problem (BVP). We construct the Green's function associated to this problem and derive a few of its important properties. We then establish sufficient conditions on existence and uniqueness of solutions for the corresponding nonlinear BVP using the modern ideas of continuation methods for contractive maps. Our results extend recent results on nabla fractional BVPs. Finally, we provide an example to illustrate the applicability of main results.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2023 Jagan Mohan Jonnalagadda;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2023.07.16
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 61, No 2 (June 2023); 869 - 888;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/45120/36048 ;https://apcz.umk.pl/TMNA/article/view/45120/36049
• Subject:
  Nabla fractional calculus;
  boundary value problem;
  Green's function;
  continuation method for contractive maps;
  fixed point;
  existence;
  uniqueness;
  39A12
• Identifier: https://apcz.umk.pl/TMNA/article/view/45120
• Dostawca danych:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other