Green's function for singular fractional differential equations and applications

Autor:	Lee, Jinsil, Lee, Yong-Hoon
Rok vydání:	2022
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Numerical Analysis 34B15 34B18 34B27
Druh dokumentu:	Working Paper
Popis:	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. Comment: arXiv admin note: substantial text overlap with arXiv:2202.09015
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.10671 Zobrazit plný text záznamu View this record from Arxiv