UNIQUENESS AND EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Nyamoradi, Nemat ^{[1
]}

Bashiri, Tahereh ^{[2
]}

Vaezpour, S. Mansour ^{[2
]}

Baleanu, Dumitru ^{[3
,4
,5
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

[2] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran, Iran

[3] Cankaya Univ, Dept Math & Comp Sci, Fac Art & Sci, TR-06530 Ankara, Turkey

[4] Inst Space Sci, R-76900 Magurele, Romania

[5] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Existence of solutions; Banachs fixed point theorem; Leray-Schauders alternative; BOUNDARY-VALUE PROBLEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence of positive solutions for the singular fractional boundary value problem [GRAPHICS] where 1 < alpha <= 2, 0 < xi <= 1/2, a is an element of [0, infinity), 1 < alpha - delta < 2, 0 < beta(i) < 1, A, B-i, 1 <= i <= k, are real constant, D-alpha is the Reimann-Liouville fractional derivative of order alpha. By using the Banach's fixed point theorem and Leray-Schauder's alternative, the existence of positive solutions is obtained. At last, an example is given for illustration.

引用

页数：13

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