Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation

被引:0
作者
Changyou Wang
Ruifang Wang
Shu Wang
Chunde Yang
机构
[1] Chongqing University of Posts and Telecommunications,College of Mathematics and Physics
[2] Chongqing University of Posts and Telecommunications,Key Laboratory of Network Control & Intelligent Instrument
[3] Ministry of Education,College of Applied Sciences
[4] Beijing University of Technology,Automation Institute
[5] Chongqing University of Posts and Telecommunications,undefined
来源
Boundary Value Problems | / 2011卷
关键词
Fractional Order; Fractional Derivative; Fractional Calculus; Fractional Differential Equation; Minimal Solution;
D O I
暂无
中图分类号
学科分类号
摘要
The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem for a class of nonlinear fractional differential equations with non-monotone term. Moreover, the existence of maximal and minimal solutions for the problem is also given.
引用
收藏
相关论文
共 47 条
[1]  
Mainardi F(1996)The fundamental solutions for the fractional diffusion-wave equation Applied Mathematics Letters 9 23-28
[2]  
Buckwar E(1998)Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations Journal of Mathematical Analysis and Applications 227 81-97
[3]  
Luchko Y(2002)Quasi-static and dynamical analysis for viscoelastic Timoshenko beam with fractional derivative constitutive relation Applied Mathematics and Mechanics 23 1-12
[4]  
Zhu ZY(1977)The Sturm-Liouville problem for a second order ordinary differential equation with fractional derivatives in the lower terms Doklady Akademii Nauk SSSR 234 308-311
[5]  
Li GG(1982)The Sturm-Liouville problem for a second-order differential equation with fractional derivatives in the lower terms Differentsial'nye Uravneniya 18 341-342
[6]  
Cheng CJ(2006)Existence of solution for a boundary value problem of fractional order Acta Mathematica Scientia B 26 220-228
[7]  
Nahušev AM(2006)Positive solutions for boundary-value problems of nonlinear fractional differential equations Electronic Journal of Differential Equations 36 1-12
[8]  
Aleroev TS(2005)Positive solutions for boundary value problem of nonlinear fractional differential equation Journal of Mathematical Analysis and Applications 311 495-505
[9]  
Zhang S(2008)Existence of positive solutions for singular fractional differential equations Electronic Journal of Differential Equations 149 1-9
[10]  
Zhang S(2009)Some new existence results for fractional differential inclusions with boundary conditions Mathematical and Computer Modelling 49 605-609