Existence and Boundary Behavior of Positive Solutions for a Semilinear Fractional Differential Equation

被引：8

作者：

Maagli, Habib ^{[1
]}

Chaieb, Majda ^{[2
]}

Dhifli, Abdelwaheb ^{[2
]}

Zermani, Samia ^{[2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Coll Arts & Sci, Rabigh 21911, Saudi Arabia

[2] Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2015年 / 12卷 / 04期

关键词：

Fractional differential equation; Positive solution; Schauder fixed-point theorem; UNIQUENESS;

D O I：

10.1007/s00009-015-0571-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following semilinear fractional initial value problem D alpha u(x) = a(x)u(sigma) (x), x is an element of (0, 1) and lim(x -> 0) x(1-alpha)u(x) = 0, where and a is a positive measurable function on (0, 1). We establish the existence and the uniqueness of a positive solution in the space of weighted continuous functions. We also give the boundary behavior of such solution.

引用

页码：1265 / 1285

页数：21

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