带积分边值条件的分数阶微分方程解的存在性和唯一性
대적분변치조건적분수계미분방정해적존재성화유일성
Existence and Uniqueness of Solutions of the Fractional Differential Equation with Integral Boundary Value Conditions
  • 万方数据
    上海理工大学学报 상해리공대학학보

    2014年 5期 409-415,442 ,共8页

    刘帅%贾梅%秦小娜

    류수%가매%진소나

    积分边值条件%不动点定理%存在性和唯一性 積分邊值條件%不動點定理%存在性和唯一性
    적분변치조건%불동점정리%존재성화유일성
    integral boundary value condition%fixed point theorem%existence and uniqueness
    研究了一类带积分边值条件的分数阶微分方程边值问题解的存在性和唯一性，并利用Schauder 不动点定理以及压缩映像原理，得到了边值问题解的存在性及唯一性结论。
    연구료일류대적분변치조건적분수계미분방정변치문제해적존재성화유일성，병이용Schauder 불동점정리이급압축영상원리，득도료변치문제해적존재성급유일성결론。
    The existence and uniqueness of solutions were studied for a class of fractional differential equations with integral boundary value conditions.The conclusions about the existence and uniqueness of solutions were obtained by using the Schauder fixed point theorem and the Banach contraction principle.
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