Banach空间中一类分数阶微分方程边值问题
Banach공간중일류분수계미분방정변치문제
Boundary value problem for a class of fractional differential equations in Banach spaces
  • 万方数据
    纯粹数学与应用数学 순수수학여응용수학
    PURE AND APPLIED MATHEMATICS
    2013年 1期 1-10 ,共10页

    董琪翔%毋光先%李姣

    동기상%무광선%리교

    分数阶积分%分数阶导数%微分方程%边值问题%mild解 分數階積分%分數階導數%微分方程%邊值問題%mild解
    분수계적분%분수계도수%미분방정%변치문제%mild해
    fractional order integral%fractional order derivative%differential equation%boundary value problem%mild solution
    研究 Banach 空间中一类非线性分数阶微分方程边值问题.构建此类方程的Green 函数,利用非紧测度和相关的不动点定理,得到了此类方程的mild 解存在的几个充分条件,所得结果改进和推广了一些已有的结论.
    연구 Banach 공간중일류비선성분수계미분방정변치문제.구건차류방정적Green 함수,이용비긴측도화상관적불동점정리,득도료차류방정적mild 해존재적궤개충분조건,소득결과개진화추엄료일사이유적결론.
    This paper is concerned with a class of nonlinear differential equations with boundary value conditions in Banach spaces. By using the Green′s function, theory of measure of noncompactness and fixed point theorem, existence results of mild solutions are obtained, which improve and generalize some previous results.
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