Existence of positive solutions for integral boundary value problems of fractional differential equations with p-Laplacian

被引：0
作者：
Luchao Zhang
Weiguo Zhang
Xiping Liu
Mei Jia
机构：
[1] University of Shanghai for Science and Technology,Business School
[2] University of Shanghai for Science and Technology,College of Science
来源：
Advances in Difference Equations | / 2017卷
关键词：
fractional differential equations; Caputo derivative; -Laplacian operator; integral boundary conditions; positive solutions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the existence of positive solutions for integral boundary value problems of Caputo fractional differential equations with p-Laplacian operator. By means of the properties of the Green’s function, Avery-Peterson fixed point theorems, we establish conditions ensuring the existence of positive solutions for the problem. As an application, an example is given to demonstrate the main result.
引用
收藏
相关论文
共 53 条
[1]  
Avery RI(2001)Three positive fixed points of nonlinear operators on ordered Banach spaces Comput. Math. Appl. 42 313-322
[2]  
Peteson AC(2002)Formulation of Euler-Lagrange equations for fractional variational problems J. Math. Anal. Appl. 272 368-379
[3]  
Agrawal OP(2003)Some applications of fractional equations Commun. Nonlinear Sci. Numer. Simul. 8 273-281
[4]  
Weitzner H(2005)Positive solutions for boundary value problem of nonlinear fractional differential equation J. Math. Anal. Appl. 311 495-505
[5]  
Zaslavsky GM(2010)Fractional calculus in viscoelasticity: an experimental study Commun. Nonlinear Sci. Numer. Simul. 15 939-945
[6]  
Bai Z(2011)Recent history of fractional calculus Commun. Nonlinear Sci. Numer. Simul. 16 1140-1153
[7]  
Lu H(2012)On the solvability of a fractional differential equation model involving the Comput. Math. Appl. 64 3267-3275
[8]  
Meral FC(2012)-Laplacian operator Adv. Differ. Equ. 2012 387-401
[9]  
Royston TJ(2013)Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with Differ. Equ. Dyn. Syst. 21 412-422
[10]  
Magin R(2014)-Laplacian Appl. Math. Comput. 235 953-974
123456