Green's function for singular fractional differential equations and applications
Classical Analysis and ODEs
2022-03-22 v1 Numerical Analysis
Numerical Analysis
Abstract
In this paper, we study the existence of positive solutions for nonlinear fractional differential equations with a singular weight. We derive Green's function and corresponding integral operator and then examine the compactness of the operator. As an application, we prove an existence-result for positive solutions when a nonlinear term satisfies either superlinear or sublinear conditions. The proof was mainly employed by Krasnoselski's classical fixed point theorem.
Cite
@article{arxiv.2203.10671,
title = {Green's function for singular fractional differential equations and applications},
author = {Jinsil Lee and Yong-Hoon Lee},
journal= {arXiv preprint arXiv:2203.10671},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2202.09015