一类分数次微分方程边值问题的解
일류분수차미분방정변치문제적해
Solutions to a Boundary Value Problem of Fractional Differential Equation
  • 万方数据
    常熟理工学院学报 상숙리공학원학보
    JOURNAL OF CHANGSHU INSTITUTE OF TECHNOLOGY
    2014年 2期 38-41 ,共4页

    代雨杭%胡平平%苏新卫

    대우항%호평평%소신위

    分数次微分方程%不动点定理%无界解 分數次微分方程%不動點定理%無界解
    분수차미분방정%불동점정리%무계해
    fractional differential equation%fixed point theorem%unbounded solution
    讨论了无穷区间上的分数次微分方程的边值问题，应用Schauder不动点定理，证明非线性分数次微分方程边值问题解的存在性，合适的Banach空间的选取允许解是无界的。
    토론료무궁구간상적분수차미분방정적변치문제，응용Schauder불동점정리，증명비선성분수차미분방정변치문제해적존재성，합괄적Banach공간적선취윤허해시무계적。
    This paper deals with a boundary value problem of nonlinear fractional differential equation on infi-nite interval. By means of Schayder fixed point theorem, the existence result of solutions is proved. A suitable Banach space is introduced so that the solution that was obtained may be unbounded.
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