Theoretical Results on Positive Solutions in Delta Riemann–Liouville Setting

Autor:	Pshtiwan Othman Mohammed, Ravi P. Agarwal, Majeed A. Yousif, Eman Al-Sarairah, Alina Alb Lupas, Mohamed Abdelwahed
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Riemann–Liouville operators Green’s function (GF) fixed-point theorem existence and uniqueness solution Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 18, p 2864 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12182864
Popis:	This article primarily focuses on examining the existence and uniqueness analysis of boundary fractional difference equations in a class of Riemann–Liouville operators. To this end, we firstly recall the general solution of the homogeneous fractional operator problem. Then, the Green function to the corresponding fractional boundary value problems will be reconstructed, and homogeneous boundary conditions are used to find the unknown constants. Next, the existence of solutions will be studied depending on the fixed-point theorems on the constructed Green’s function. The uniqueness of the problem is also derived via Lipschitz constant conditions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b87898a76fc241b79d8276c8e0ebd39c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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