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

非线性分数阶微分方程耦合系统三点边值问题解的存在性 被引量：2

Existence of the Solutions for a Coupled Systems of Nonlinear Fractional Order with Three-point Boundary Value Problem
下载PDF
导出
摘要 讨论了非线性分数阶微分方程耦合系统的三点边值问题,利用Green函数的性质,将其转化为等价的积分方程耦合系统,应用Schauder不动点定理得到解的存在的充分条件. In this paper,we study the three-point boundary value problem to a coupled system of nonlinear fractional differential equations. By the means of the Green＇s function,the system can be reduced to the equivalent integral equation. Then we obtain some sufficient conditions for the existence of the solutions for the system by using the Schauder fixed-point theorem.
作者 姜小霞 欧阳自根 彭湘凌
机构地区 南华大学数理学院
出处 《南华大学学报（自然科学版）》 2015年第1期94-99,共6页 Journal of University of South China：Science and Technology
关键词 耦合系统 边值问题 Riemann-Liouville分数阶导数 SCHAUDER不动点定理 coupled system boundary value problem Riemann-Liouville fractional derivative Schauder fixed-point theorem
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Kilbas A A,Srivastava H M,Trujillo J J. Theory and ap- plications of fractional differential equations [ M ]. Am- sterdam:Elsevier Science B V,2006.
  • 2Lakshmikantham V. Theory of fractional functional differ- ential equations [ J ]. Nonlinear Anal, 2008,69 ( 10 ) : 3337 -3343.
  • 3Agarwal R P, Lakshmikantham V, Nieto Juan J. On the con- cept of solution for fractional differential equations with un-certainty [ J ]. Nonlinear Anal,2010,72 (6) :2859-2862.
  • 4Podlubny I. Fractional differential equations [ M ]. San Diego : Academic Press, 1999.
  • 5Miller K S, Ross B. An introduction the fractional Calcu- lus and fractional equations [ M ]. New York : Wiley, 1993.
  • 6Agrawal R P,Zhou Y, He Y. Existence of fractional neu- tral differential equations [ J ]. Compul. And Math. with app1,2010,59 ( 3 ) : 1095-1110.
  • 7Bai C Z, Fang J X. The existence of a positive solution for a singular coupled system of nonlinear fractional dif- ferential equations [ J ]. Appl. Math. Comput, 2004,150 (3) :611-621.
  • 8Chen Y,An H L. Numerical solutions of coupled Burgers equations with time-and space-fractional derivatives [ J ]. Appl. Math. Comput,2008,200( 1 ) :215-225.
  • 9Su X W. Boundary value problem for a coupled system of nonlinear fractional differential eququations [ J ]. Appl. Math. Lett,2009,22( 1 ) :64-69.
  • 10Ahmad B, Nieto J J. Existence results for a coupled sys- tem of nonlinear fractional differential equations with three-point boundary conditions [ J ]. Comput. Math. Ap- pl,2009,58(9) : 1838-1843.

同被引文献22

引证文献2

二级引证文献2

南华大学学报（自然科学版）
2015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