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

被引：0

作者：

Hassan Yahya Alfifi

Imen Ben Saad

Sameh Turki

Zagharide Zine El Abidine

机构：

[1] University of Dammam,Department of Basic Sciences, College of Education

[2] Jeddah University,Faculty of Sciences and Humanities of Khulais

[3] University of Dammam,Department of Basic Sciences, Deanship of Preparatory Year and Supporting Studies

[4] Faculté des Sciences de Tunis,Département de Mathématiques

来源：

Results in Mathematics | 2017年 / 71卷

关键词：

Riemann–Liouville fractional derivative; Green function; asymptotic behavior; Karamata function; Schäuder’s fixed point theorem; 26A33; 34A08; 34B27; 35B40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study a coupled system of semilinear Riemann–Liouville type fractional differential equations. Applying the Schäuder 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：25

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