期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

分数阶微分方程边值问题解的存在性 被引量：3

The Existence of Solution for Boundary Value Problem of Nonlinear Fractional Differential Equation
下载PDF
导出
摘要 讨论了非线性分数阶微分方程的两点边值问题,其中的导数是Caputo型分数阶导数,非线性项是Carathéodory函数,应用Darbo不动点定理,证明其在L(0,1)中存在解. This paper deals with a nonlinear fractional differential equation with Caratheodory function and Caputo＇s fractional derivative. By means of Darbo＇s fixed-point theorem, an existence result of solution for two-point boundary value problem of nonlinear fractional differential equation is obtained.
作者 苏新卫 穆晓霞
机构地区 中国矿业大学(北京)理学院 河南师范大学计算机与信息技术学院
出处 《河南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第1期9-12,共4页 Journal of Henan Normal University(Natural Science Edition)
基金 中国矿业大学(北京)课程建设与教改项目(K070601)
关键词 边值问题 Caputo型分数阶导数 CARATHEODORY函数 不动点定理 boundary value problem Caputo＇s fractional derivative Caratheodory function fixed-point theorem
分类号 O175.8 [理学—基础数学] O175.14 [理学—基础数学]
  • 相关文献

参考文献9

  • 1Bai Z B,LV H S.Positive solutions for boundary value problem of nonlinear fractional differential equation[J].J Math Anal Appl,2005,311(2):495-505.
  • 2El-sayed A M A.Nonlinear functional differential equations of arbitrary orders[J].Nonlinear analysis Theory Methods Applications,1998,33(2):181-186.
  • 3El-sayed A M A,Ibrahim A G.Set-valued integral equations of fractional-orders[J].Applied Mathematics and Computation,2001,118(1):113-121.
  • 4El-sayed W G,El-sayed A M A.On the functional integral equations of mixed type and integro-differential equations of fractional orders[J].Applied Mathematics and Computation,2004,154(2):461-467.
  • 5苏新卫,穆晓霞.非线性分数阶微分方程系统正解的存在性和唯一性[J].河南师范大学学报（自然科学版）,2006,34(4):9-12. 被引量：8
  • 6Podlubny I.Fractional differential equations,Mathematics in Science and Engineering[M].New York:Academic Press,1999.
  • 7Samko S G,Kilbas A A,Marichev O I.Fractional Integrals And Derivatives(Theory and Applications)[M].Switzerland:Gordon and Breach,1993.
  • 8Dunford N,Schwartz J.Linear Operators I[M].Leyden:Int Publ,1963.
  • 9Bana s J,El-Sayed W G.Measures of noncompactness and solvability of an integral equation in the class of functions of locally bounded variation[J].J Math Anal Appl,1992,167(1):133-151.

二级参考文献8

  • 1Zhang S Q.The existence of positive solution for a nonlinear fractional differential equation[J].J Math Anal Appl,2000,252:804-812.
  • 2Babakhani A,Daftardar-Gejji V.Existence of positive solutions of nonlinear fractional differ-ential equation[J].J Math Anal Appl,2003,278:434-442.
  • 3Daftardar-Gejji V.Positive solutions of a system of non-autonomous fractional differential equations[J].J Math Anal Appl,2005,302:56-64.
  • 4Bai C Z,Fang J X.The existence of positive solutions for a singular coupled system of nonli-near fractional differential equations[J].Appl Math Compution,2004,150:611-621.
  • 5Miller K S,Ross B.An Introduction to the Fractional Calculus and Fractional Differential Eq-uations[M].New York:Wiley,1993.
  • 6Guu Sy-Ming.On some coupled quasi-fixed points theorems[J].J Math Anal Appl,1996,204:444-450.
  • 7Zhang Z T.New fixed point theorems of mixed monotone operators and applications[J].J Math Anal Appl,1996,204:307-319.
  • 8Delbosco D,Rodino L.Existence and uniqueness for a nonlinear fractional differential equati-on[J].J Math Anal Appl,1996,204:609-625.

共引文献7

同被引文献8

引证文献3

二级引证文献1

河南师范大学学报（自然科学版）
2008年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部