Multiple Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations on the Half-line

被引：2

作者：

El Abidine, Zagharide Zine ^{[1
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Potentiels & Probabilites UR11ES22, Tunis 2092, Tunisia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 03期

关键词：

coupled system; Riemann-Liouville fractional derivative; positive solutions; Schauder fixed point theorem; BOUNDARY-VALUE PROBLEM; FINITE-TIME STABILITY; EXISTENCE;

D O I：

10.1007/s00009-017-0943-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a boundary value problem for a coupled differential system of fractional order on the half-line. The differential operator is taken in the Riemann-Liouville sense and the nonlinear terms involve the fractional derivative of the unknown functions. Applying the Schauder fixed point theorem, we prove the existence of infinitely many positive unbounded solutions of the fractional differential system. Also, we give examples to illustrate our main result.

引用

页数：16

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