Existence and Uniqueness of Positive Solutions for Boundary Value Problems of Fractional Differential Equations

被引：30

作者：

Afshari, Hojjat ^{[1
]}

Marasi, Hamidreza ^{[2
]}

Aydi, Hassen ^{[3
,4
]}

机构：

[1] Univ Bonab, Basic Sci Fac, Dept Math, Bonab, Iran

[2] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran

[3] Univ Dammam, Dept Math, Coll Educ Jubail, PO 12020, Ind Jubail 31961, Saudi Arabia

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

FILOMAT | 2017年 / 31卷 / 09期

关键词：

Fractional differential equation; normal cone; boundary value problem; mixed monotone operator; FIXED-POINT THEOREMS; METRIC-SPACES;

D O I：

10.2298/FIL1709675A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using fixed point results of mixed monotone operators on cones and the concept of phi-concavity, we study the existence and uniqueness of positive solutions for some nonlinear fractional differential equations via given boundary value problems. Some concrete examples are also provided illustrating the obtained results.

引用

页码：2675 / 2682

页数：8

共 21 条

[1] Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces [J].