Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations

被引：6

作者：

Alfifi, Hassan Yahya ^{[1
]}

Ben Saad, Imen ^{[2
]}

Turki, Sameh ^{[3
]}

El Abidine, Zagharide Zine ^{[4
]}

机构：

[1] Univ Dammam, Dept Basic Sci, Coll Educ, Dammam, Eastern Provinc, Saudi Arabia

[2] Jeddah Univ, Fac Sci & Humanities Khulais, Jeddah, Saudi Arabia

[3] Univ Dammam, Dept Basic Sci, Deanship Preparatory Year & Supporting Studies, POB 1982, Dammam 31441, Eastern Provinc, Saudi Arabia

[4] Fac Sci Tunis, Dept Math, Campus Univ, Tunis 2092, Tunisia

来源：

RESULTS IN MATHEMATICS | 2017年 / 71卷 / 3-4期

关键词：

Riemann-Liouville fractional derivative; Green function; asymptotic behavior; Karamata function; Schauder's fixed point theorem; BOUNDARY-VALUE PROBLEM;

D O I：

10.1007/s00025-016-0528-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a coupled system of semilinear Riemann-Liouville type fractional differential equations. Applying the Schauder fixed point theorem, we prove the existence of positive solutions of the fractional differential system. Furthermore, the asymptotic behavior of the solutions is given by using Karamata regular variation theory.

引用

页码：705 / 730

页数：26

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