Existence of Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems on the Half-Line

被引：7

作者：

Toumi, Faten ^{[1
]}

El Abidine, Zagharide Zine ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Campus Univ, Tunis 2092, Tunisia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Fractional differential equation; positive solutions; Schauder fixed point theorem;

D O I：

10.1007/s00009-015-0628-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the following nonlinear fractional differential problem in the half-line where , the differential operator is taken in the Riemann-Liouville sense and f is a Borel measurable function in satisfying certain conditions. More precisely, we show the existence of multiple unbounded positive solutions, by means of Schauder fixed point theorem. Some examples illustrating our main result are also given.

引用

页码：2353 / 2364

页数：12

共 50 条

[31] Positive solutions for semipositone fractional integral boundary value problem on the half-line
Xinan Hao
Hui Sun
Lishan Liu
Da-Bin Wang
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 3055 - 3067
[32] Successive iteration and positive solutions of a fractional boundary value problem on the half-line
Xie, Wenzhe
Luo, Zhiguo
Xiao, Jing
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[33] Existence of Solutions for m-point Boundary Value Problems on a Half-Line
Yu, Changlong
Guo, Yanping
Ji, Yude
ADVANCES IN DIFFERENCE EQUATIONS, 2009,
[34] Multiple Solutions of the Singular Impulsive Boundary Value Problems on the Half-line
Bao-qiang Yan Yan-sheng Liu Department of Mathematics
Acta Mathematicae Applicatae Sinica(English Series), 2004, (03) : 11 - 26
[35] Multiple solutions of the singular impulsive boundary value problems on the half-line
Yan B.-Q.
Liu Y.-S.
Acta Mathematicae Applicatae Sinica, 2004, 20 (3) : 365 - 380
[36] Successive iteration and positive solutions of a fractional boundary value problem on the half-line
Wenzhe Xie
Zhiguo Luo
Jing Xiao
Advances in Difference Equations, 2013
[37] Existence and global asymptotic behavior of positive solutions for nonlinear problems on the half-line
Bachar, Imed
Maagli, Habib
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 416 (01) : 181 - 194
[38] MULTIPLE POSITIVE SOLUTIONS FOR GENERAL STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS ON THE HALF-LINE
Sun, Yanmei
3RD INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND COMPUTER SCIENCE (ITCS 2011), PROCEEDINGS, 2011, : 535 - 538
[39] The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
Zhao, Yige
Sun, Shurong
Han, Zhenlai
Li, Qiuping
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) : 2086 - 2097
[40] Sharp estimates on the solutions to combined fractional boundary value problems on the half-line
Bachar, Imed
Maagli, Habib
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2331 - 2346

← 1 2 3 4 5 →