Description

• Title:
  $\alpha$-$(h,e)$-convex operators and applications for Riemann-Liouville fractional differential equations
• Creator:
  Zhou, Bibo;
  Zhang, Lingling
• Description:
  In this paper, we consider a class of $\alpha$-$(h,e)$-convex operators defined in set $P_{h,e}$ and applications with $\alpha> 1$. Without assuming the operator to be completely continuous or compact, by employing cone theory and monotone iterative technique, we not only obtain the existence and uniqueness of fixed point of $\alpha$-$(h,e)$-convex operators, but also construct two monotone iterative sequences to approximate the unique fixed point. At last, we investigate the existence-uniqueness of a nontrivial solution for Riemann-Liouville fractional differential equations integral boundary value problems by employing $\alpha$-$(h,e)$-convex operators fixed point theorem.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Bibo Zhou, Lingling Zhang
• Date:
  2023.02.26
• 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); 577 - 590;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/42811/34964 ;https://apcz.umk.pl/TMNA/article/view/42811/34965
• Subject:
  Convex operator;
  cone theory;
  fractional differential equation;
  existence and uniqueness;
  47H10, 47H07, 34B18, 34B10
• Identifier: https://apcz.umk.pl/TMNA/article/view/42811
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other