Positive Solutions for a Fractional Differential Equation with Sequential Derivatives and Nonlocal Boundary Conditions

被引：5

作者：

Tudorache, Alexandru ^{[1
]}

Luca, Rodica ^{[2
]}

机构：

[1] Gh Asachi Tech Univ, Dept Comp Sci & Engn, Iasi 700050, Romania

[2] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 09期

关键词：

Riemann-Liouville fractional differential equation; nonlocal boundary conditions; sign-changing functions; singular functions; positive solutions;

D O I：

10.3390/sym14091779

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study the existence of positive solutions for a Riemann-Liouville fractional differential equation with sequential derivatives, a positive parameter and a sign-changing singular nonlinearity, subject to nonlocal boundary conditions containing varied fractional derivatives and general Riemann-Stieltjes integrals. We also present the associated Green functions and some of their properties. In the proof of the main results, we apply the Guo-Krasnosel'skii fixed point theorem. Two examples are finally given that illustrate our results.

引用

页数：12

共 16 条

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