Existence Result and Uniqueness for Some Fractional Problem

被引：11

作者：

Wang, Guotao ^{[1
,5
,6
]}

Ghanmi, Abdeljabbar ^{[2
]}

Horrigue, Samah ^{[3
]}

Madian, Samar ^{[4
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[2] Univ Tunis El Manar, Fac Sci Tunis, Tunis 1060, Tunisia

[3] Univ Monastir, Higher Inst Appl Sci & Technol, Dept Math, Monastir 5000, Tunisia

[4] Higher Inst Engn & Technol, Basic Sci Dept, New Damietta 34517, Egypt

[5] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[6] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, Jeddah 21589, Saudi Arabia

来源：

MATHEMATICS | 2019年 / 7卷 / 06期

基金：

中国国家自然科学基金;

关键词：

positive solution; green function; fractional differential equation; the method of lower and upper solutions; BOUNDARY-VALUE-PROBLEMS; POSITIVE EXTREMAL SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-EQUATIONS; SUCCESSIVE ITERATIONS;

D O I：

10.3390/math7060516

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, by the use of the lower and upper solutions method, we prove the existence of a positive solution for a Riemann-Liouville fractional boundary value problem. Furthermore, the uniqueness of the positive solution is given. To demonstrate the serviceability of the main results, some examples are presented.

引用

页数：12

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