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Existence of Positive Solution to a Singular System of Nonlinear Fractional Differential Equation

Existence of Positive Solution to a Singular System of Nonlinear Fractional Differential Equation
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摘要 在这份报纸,我们讨论非线性的部分微分方程,不同类的条款在取决于更低的顺序的部分衍生物的一个单个系统。由使用, Krasnoselskii 修理了点定理和 Leray-Schauder 非线性的其他的方法,为单个系统的积极答案的存在的一些足够的条件被获得。 In this paper,we discuss a singular system of nonlinear fractional differential equation,in which the inhomogeneous term depends on the fractional derivative of lower order.By using the Krasnoselskii's fixed point theorem and the Leray-Schauder nonlinear alternative method,some suffcient conditions for the existence of positive solution of the singular system are obtained.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第4期582-588,共7页 数学季刊(英文版)
基金 Supported by Natural Science Foundation of Hunan Province(09JJ3005 2010GK3008)
关键词 部分微分方程 积极答案 固定的点定理 fractional differential equation positive solution fixed point theorem
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参考文献4

  • 1M A Krasnoselskii.Positive Solutious of Operator Equations[M].Groningen:Noordhoff,1964.
  • 2E Zeidler.Nonlinear Functional Analysis and Applications,I:Fixed point Theorems[M].New York:SpringerVerlag,1986.
  • 3Bai C Z,Fang J X.The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations[J].Appl Math Comp,2004,150:611-621.
  • 4N Kosmatov.Integral equations and initial value problems for nonlinear differetial equations of fractional order[J].Nonlinear Analysis,2009,70(7):2521-2529.

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