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Theoretical Results on Positive Solutions in Delta Riemann–Liouville Setting

Year: 2024
Type: article
Abstract: 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.
Source: Mathematics
DOI: 10.3390/math12182864
Authors: Pshtiwan Othman Mohammed, Ravi P. Agarwal, Majeed A. Yousif, Eman Al-Sarairah, Alina Alb Lupas, Mohamed Abdelwahed
Institutions: University of Sulaimani, Florida Institute of Technology, University of Zakho, Al-Hussein Bin Talal University, Khalifa University of Science and Technology, University of Oradea, King Saud University
Language: English
Open Access status: gold
Estimated APC paid: $2,955
OpenAlex ID: W4402819107
FWCI: 2.29
Cites: 36
Cited by: 3
Related to: 10