非线性分数微分方程边值问题的正解(英文)

霍学磊; 胡成; 蒋海军

您当前的位置：

首页 >

文章列表页 >

非线性分数微分方程边值问题的正解(英文)

数理科学 | 更新时间：2026-01-21

- 非线性分数微分方程边值问题的正解(英文)
- 非线性分数微分方程边值问题的正解(英文)
- 新疆大学学报（自然科学版中英文） 2012年29卷第2期页码：150-156
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  Supported by the National Natural Science Foundation of People's Republic of China(Grant Nos.10961022,10901130 and 61164004);the Natural Science Foundation of Xinjiang(Grant No.2010211A07)
- DOI：
  中图分类号： O175.8
- 纸质出版：2012
- 稿件说明：
移动端阅览
[1]霍学磊,胡成,蒋海军.非线性分数微分方程边值问题的正解(英文)[J].新疆大学学报(自然科学版),2012,29(02):150-156.

霍学磊, 胡成, 蒋海军. 非线性分数微分方程边值问题的正解(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(2): 150-156.
[1]霍学磊,胡成,蒋海军.非线性分数微分方程边值问题的正解(英文)[J].新疆大学学报(自然科学版),2012,29(02):150-156. DOI：

霍学磊, 胡成, 蒋海军. 非线性分数微分方程边值问题的正解(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(2): 150-156. DOI：

摘要

研究了一类非线性分数阶方程的边值问题.通过利用上下解的方法和Schauder不动点定理

得到了关于分数阶边值问题正解存在性的判别准则.

Abstract

In this paper

a class of nonlinear fractional boundary value problem is proposed.By means of lower and upper solution method and Schauder fixed-point theorem

some criteria on the existence of positive solutions are derived for the fractional boundary value problem.

关键词

Keywords

references

Samko S G,Kilbas A A,Marichev O I.Fractional integral and derivatives:Theory and Applications[M].Gordon and Breach,Switzerland, 1993.

Ross B.The Fractional Calculus and its Applications in:Lecture Notes in Mathematics[M].Berlin:Springer-Verlag,1975.

Nonnenmacher T F,Metzler R.On the Riemann-Liouville fractional calculus and some recent applications[J].Fractals,1995,3:557-566.

Tatom F B.The relationship between fractional calculus and fractals[J].Fractals,1995,3:217-229.

Podlubny I.Fractional Differential Equations,in:Mathematics in Science and Engineering[M].Academic press,1999.

El-Sayed AMA,H-Mesiry AEM,El-Saka HAA.On the fractional-order logistic equation[J].Appl Math Lett,2007,20:817-823.

Kilbas AA,Srivastava HM,Trujillo JJ.Theory and Applications of Fractional Differential Equations,in:North-Holland Mathematics Studies [M].Amsterdam:Elsevier Science BV,2006.

Lakshmikantham V,Leela S,Vasundhara J.Theory of Fractional Dynamic Systems[M].Cambridge:Cambridge Academic Publishers,2009.

Nakhushev AM.The Sturm-Liouville problem for a second order ordinary differential equation with fractional derivatives in the lower terms [J].Dokl Akad Nauk SSSR,1977,234:308-311.

Agarwal RP,Benchohra M,Slimani BA.Existence results for differential equations with fractional order and impulses[J].Mem.Differential Equations Math.Phys.,2008,44:1-21.

Bai Z,Ltt H.Positive solutions for boundary value problem of nonlinear fractional differential equation[J].J.Math.Anal Appl,2005,311: 495-505.

Lakshmikantham V,Vatsala AS.Basic theory of fractional differential equations[J].Nonlinear Anal,2008,69:2677-2682.

Lakshmikantham V,Vatsala AS,General uniqueness and monotone iterative technique for fractional differential equations[J].Appl Math Lett, 2008,21:828-834.

Zhang S,Positive solutions for boundary-value problems of nonlinear fractional equations.Electron[J].J Diff Equat,2006,36:1-12.

Shahed ME,Positive solutions for boundary value problem of nonlinear fractional differential equation[J].Abstr Appl Anal,2007,10368.

Liang S,Zhang J.Positive solutions for boundary value problems of nonlinear fractional differential equation[J].Nonlinear Anal,2009,71: 5545-5550.

Zhao Y,Sun S,Han Z,Zhang M.Positive solutions for boundary value problems of nonlinear fractional differential equations[J].Appl Math Comput,2011,217:6950-6958.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

一类非线性二阶三点边值问题的正解(英文)