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一类分数阶积—微分方程耦合系统的正解 被引量：2

Positive Solutions for a Coupled System of Fractional Integro-differential Equations
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摘要 研究一类分数阶积-微分方程组成的耦合系统的正解,利用Schauder不动点定理和Banach压缩原理得到解的存在性和唯一性. This paper investigates the positive solutions for a coupled system of fractional integro-differential equations. By using Schauder fixed point theorem and Banach contractive principle,the existenceand uniqueness of positive solutions are obtained.
作者 刘翠
机构地区 曲阜师范大学数学科学学院
出处 《曲阜师范大学学报（自然科学版）》 CAS 2014年第1期42-48,共7页 Journal of Qufu Normal University(Natural Science)
关键词 耦合系统 积-微分方程 正解存在性 正解唯一性 coupled system integro-differential equation existence of positive solution uniqueness ofpositive solution.
分类号 C175.29 [社会学]
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参考文献9

  • 1Wang Jinhua,Xiang Hongjun,Liu Zhigang. Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations[J].International Journal of Differential Equations,2010.12.
  • 2Wang Guotao,Ahmad Bashir,Zhang Lihong. A coupled system of nonlinear fractional differential equations with multipoint fractional boundary conditions on an unbounded domain[J].{H}ABSTRACT AND APPLIED ANALYSIS,2012.11.
  • 3Su Xinwei. Boundary value problem for a coupled system of nonlinear fractional differential equations[J].Applied Mathe-matics Letters,2009.64-69.
  • 4Ahmad Bashir,Nieto Juan J. Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions[J].{H}Computers & Mathematics with Applications,2009.1838-1843.
  • 5Yang Wengui. Positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions[J].{H}Computers & Mathematics with Applications,2012.288-297.
  • 6Goodrich Christophers S. Existence of a positive solution to a class of fractional differential equations[J].Applied Mathe-matics Letters,2010.1050-1055.
  • 7Bai Zhanbing,Lü Haishen. Positive solutions for boundary value problem of nonlinear fractional differential equation[J].{H}Journal of Mathematical Analysis and Applications,2005.495-505.
  • 8Yang Liu,Zhang weiguo,Liu Xiping. A sufficient condition for the existence of a positive solution for a nonlinear fractional differential equation with the Riemann-Liouville derivative[J].Applied Mathematics Letters,2012.1986-1992.
  • 9Zhang Lihong,Ahmad Bashir,Wang Guotao. Nonlinear fractional integro-differential equations on unbounded domains in a Banach space[J].Journal Computational and Applied Mathematics,2013.51-56.

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曲阜师范大学学报（自然科学版）
2014年 第1期

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