Existence and Nonexistence Results for a System of Integral Boundary Value Problems With Parametric Dependence

被引：3

作者：

Bourguiba, Rim ^{[1
]}

Toumi, Faten ^{[2
]}

Wanassi, Om Kalthoum ^{[1
]}

机构：

[1] Univ Monastir, Fac Sci Monastir, LR18ES17, Monastir 5019, Tunisia

[2] King Faisal Univ, Coll Business Ad Inistrat, PO 380, Ahsaa 31982, Saudi Arabia

来源：

FILOMAT | 2020年 / 34卷 / 13期

关键词：

Fractional differential system; positive solution; integral boundary conditions; Green's functions; dependence on a parameter; FRACTIONAL DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; DIFFUSION;

D O I：

10.2298/FIL2013453B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with a class of system of nonlinear singular fractional differential equations with integral boundary conditions. More precisely, we establish sufficient conditions for existence, multiplicity and nonexistence of positive solutions. The results are derived in terms of different values of the parameters. Our approach relies on the Krasnoselskii's fixed point theorem. Some examples are given to illustrate our main results.

引用

页码：4453 / 4472

页数：20

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