Existence and Global Asymptotic Behavior of Positive Solutions for Superlinear Singular Fractional Boundary Value Problems

被引：1

作者：

Aljarallah, Entesar ^{[1
,2
]}

Bachar, Imed ^{[2
]}

机构：

[1] Jouf Univ, Coll Sci, Math Dept, POB 2014, Sakaka 72388, Saudi Arabia

[2] King Saud Univ, Coll Sci, Math Dept, POB 2455, Riyadh 11451, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 07期

关键词：

Riemann-Liouville derivative; fractional boundary value problems; positive solutions; DIFFERENTIAL-EQUATION; UNIQUENESS;

D O I：

10.3390/fractalfract7070527

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we provide sufficient conditions for the existence, uniqueness and global behavior of a positive continuous solution to some nonlinear Riemann-Liouville fractional boundary value problems. The nonlinearity is allowed to be singular at the boundary. The proofs are based on perturbation techniques after reducing the considered problem to the equivalent Fredholm integral equation of the second kind. Some examples are given to illustrate our main results.

引用

页数：15