Unified existence results for nonlinear fractional boundary value problems

Autor: Imran Talib, Asmat Batool, Muhammad Bilal Riaz, Md. Nur Alam
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 2, Pp 4118-4134 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024202?viewType=HTML
Popis: In this work, we focus on investigating the existence of solutions to nonlinear fractional boundary value problems (FBVPs) with generalized nonlinear boundary conditions. By extending the framework of the technique based on well-ordered coupled lower and upper solutions, we guarantee the existence of solutions in a sector defined by these solutions. One notable aspect of our study is that the proposed approach unifies the existence results for the problems that have previously been discussed separately in the literature. To substantiate these findings, we have added three illustrative examples.
Databáze: Directory of Open Access Journals