分数阶微分方程耦合系统多点积分边值问题的解
분수계미분방정우합계통다점적분변치문제적해
Solutions for multi-point boundary value problem of coupled system of fractional differential equations with integral boundary conditions
  • 万方数据
    黑龙江科技学院学报 흑룡강과기학원학보
    JOURNAL OF HEILONGJIANG INSTITUTE OF SCIENCE & TECHNOLOGY
    2012年 6期 635-639 ,共5页

    张宁%张娣%史小艺

    장저%장제%사소예

    分数阶微分方程%多点边值问题%Green函数%不动点定理 分數階微分方程%多點邊值問題%Green函數%不動點定理
    분수계미분방정%다점변치문제%Green함수%불동점정리
    fractional differential equation%muti-point boundary value problem%Green's function%fixed point theorem
    文中讨论了一类非线性Caputo型分数阶微分方程耦合系统多点积分边值问题解的存在性。在一定条件下,给出格林函数,用Schauder不动点定理得到了解存在的充分条件。数值算例说明了所得定理的适用性。
    문중토론료일류비선성Caputo형분수계미분방정우합계통다점적분변치문제해적존재성。재일정조건하,급출격림함수,용Schauder불동점정리득도료해존재적충분조건。수치산례설명료소득정리적괄용성。
    This paper discusses the existence of solutions to multi-point boundary value problem of a coupled system of nonlinear fractional differential equations with integral boundary conditions.In certain conditions,the study starts with Green's function,followed by the sufficient conditions for the existence of solutions obtained by using Schauder fixed point theorem.The study ends with the illustration of the applicability of the theorem by a numerical example.
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