Existence of Positive Solutions to Boundary Value Problem of Caputo Fractional Differential Equation

被引：1

作者：

Cui, Yaqiong ^{[1
]}

Kang, Shugui ^{[1
]}

Liu, Zhiping ^{[2
]}

机构：

[1] Shanxi Datong Univ, Sch Math & Comp Sci, Datong 037009, Peoples R China

[2] North Univ, Sch Sci, Taiyuan 030051, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷

关键词：

D O I：

10.1155/2015/708053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the existence of positive solutions to the nonlinear fractional differential equation boundary value problem (C)D(0+)(alpha)u(t) + f(u(t), u'(t) epsilon (0,1), u(0) = u(1) = u''(0) = 0 where f : [0,+infinity) x R -> [0,+infinity) is continuous,alpha epsilon (2,3], and D-C(0+)alpha is the standard Caputo differentiation. By using fixed point theorems on cone, we give some existence results concerning positive solutions. Here the solutions especially are the interior points of cone.

引用

页数：6

共 50 条

[1] Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation
Liu, Zhiping
Kang, Shugui
Chen, Huiqin
Guo, Jianmin
Cui, Yaqiong
Guo, Caixia
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
[2] EXISTENCE OF POSITIVE SOLUTIONS FOR A BOUNDARY VALUE PROBLEM OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION
Torres, F. J.
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2013, 39 (02) : 307 - 323
[3] Existence results of positive solutions to boundary value problem for fractional differential equation
Zhang, Shuqin
[J]. POSITIVITY, 2009, 13 (03) : 583 - 599
[4] Existence of positive solutions for nonlocal boundary value problem of fractional differential equation
Liu, Xiping
Lin, Legang
Fang, Haiqin
[J]. CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (10): : 1423 - 1432
[5] Existence results of positive solutions to boundary value problem for fractional differential equation
Shuqin Zhang
[J]. Positivity, 2009, 13 : 583 - 599
[6] EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATION WITH INFINITE-POINT BOUNDARY VALUE CONDITIONS
Guo, Limin
Zhao, Jingbo
Dong, Shuang
Hou, Xinglin
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (05): : 1786 - 1800
[7] Positive solutions for boundary value problem of Nonlinear fractional differential equation
El-Shahed, Moustafa
[J]. ABSTRACT AND APPLIED ANALYSIS, 2007,
[8] POSITIVE SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEM
Sun, Yan
[J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2018, 19 (04): : 369 - 389
[9] Positive solutions for boundary value problem of nonlinear fractional differential equation
Bai, ZB
Lü, HS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (02) : 495 - 505
[10] Positive solutions of a boundary value problem for a nonlinear fractional differential equation
Kaufmann, Eric R.
Mboumi, Ebene
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2008, (03) : 1 - 11

← 1 2 3 4 5 →