Existence of solution for integral boundary value problems of fractional differential equations

被引：0
作者：
Xueying Yue
Kemei Zhang
机构：
[1] Qufu Normal University,School of Mathematical Sciences
来源：
Boundary Value Problems | / 2018卷
关键词：
Positive solutions; Fractional differential equations; Leray–Schauder fixed point theorem; Guo–Krasnosel’skii’s fixed point theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we discuss the existence of positive solutions of fractional differential equations on the infinite interval (0,+∞)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(0,+\infty)$\end{document}. The positive solution of fractional differential equations is gained by using the properties of the Green’s function, Leray–Schauder’s fixed point theorems, and Guo–Krasnosel’skii’s fixed point theorem. As an application, two examples are given to prove our conclusions.
引用
收藏
相关论文
共 45 条
[1]  
Li X.C.(2010)Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval Math. Methods Appl. Sci. 40 1892-1904
[2]  
Liu X.P.(2012)Nontrivial solutions of fourth-order singular boundary value problems with sign-changing nonlinear terms Topol. Methods Nonlinear Anal. 40 53-70
[3]  
Jia M.(2015)Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval Appl. Math. Lett. 47 1-7
[4]  
Li X.(2010)Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations Comput. Math. Appl. 59 1363-1375
[5]  
Zhang S.(2016)On the existence of positive solutions and negative solutions of singular fractional differential equations via global bifurcation techniques Bound. Value Probl. 2016 22-27
[6]  
Zhang K.M.(2017)The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval Adv. Differ. Equ. 2017 543-556
[7]  
Wang G.(2015)Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions Appl. Math. Lett. 39 705-724
[8]  
Li C.F.(2003)Existence and unboundedness of positive solution for singular boundary value problem on half-line Appl. Math. Comput. 144 383-394
[9]  
Luo X.N.(2017)On sign-changing solution for some fractional differential equations Bound. Value Probl. 2017 421-434
[10]  
Zhou Y.(2017)Existence of minimal and maximal solutions to RL fractional integro-differential initial value problems Opusc. Math. 37 3343-3354
12345