On a System of Riemann-Liouville Fractional Boundary Value Problems with ρ-Laplacian Operators and Positive Parameters

被引：3

作者：

Henderson, Johnny ^{[1
]}

Luca, Rodica ^{[2
]}

Tudorache, Alexandru ^{[3
]}

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

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

[3] Gheorghe Asachi Tech Univ, Dept Comp Sci & Engn, Iasi 700050, Romania

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 06期

关键词：

Riemann-Liouville fractional differential equations; nonlocal coupled boundary conditions; positive solutions; existence; nonexistence; positive parameters; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.3390/fractalfract6060299

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence and nonexistence of positive solutions of a system of Riemann-Liouville fractional differential equations with rho-Laplacian operators, supplemented with coupled nonlocal boundary conditions containing Riemann-Stieltjes integrals, fractional derivatives of various orders, and positive parameters. We apply the Schauder fixed point theorem in the proof of the existence result.

引用

页数：15

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