Positive solutions for a system of Riemann-Liouville fractional boundary value problems withp-Laplacian operators

被引:20
作者
Tudorache, Alexandru [1 ]
Luca, Rodica [2 ]
机构
[1] Gh Asachi Tech Univ, Fac Automat Control & Comp Engn, Iasi, Romania
[2] Gh Asachi Tech Univ, Dept Math, Iasi, Romania
关键词
Systems of Riemann-Liouville fractional differential equations; Nonlocal coupled boundary conditions; Nonnegative nonlinearities; Existence of solutions; Nonexistence of solutions; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I
10.1186/s13662-020-02750-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the existence and nonexistence of positive solutions for a system of Riemann-Liouville fractional differential equations withp-Laplacian operators, nonnegative nonlinearities and positive parameters, subject to coupled nonlocal boundary conditions which contain Riemann-Stieltjes integrals and various fractional derivatives. We use the Guo-Krasnosel'skii fixed point theorem in the proof of the main existence results.
引用
收藏
页数:30
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