分数阶微分方程反周期边值问题解的存在性与唯一性
분수계미분방정반주기변치문제해적존재성여유일성
Existence and uniqueness of solutions for anti-periodic fractional boundary value problems
  • 万方数据
    贵州师范大学学报：自然科学版 귀주사범대학학보：자연과학판
    Journal of Guizhou Normal University(Natural Sciences)
    2012年 1期 42-45 ,共4页

    张宁%史小艺%薛婷婷

    장저%사소예%설정정

    分数阶微分方程%反周期边值问题%不动点定理 分數階微分方程%反週期邊值問題%不動點定理
    분수계미분방정%반주기변치문제%불동점정리
    Fractional differential equations%Anti-periodic boundary value problems%Fixed point theorem
    研究了一类分数阶微分方程反周期边值问题,在连续函数f：[0,T]×R→R满足一定条件下,利用不动点定理得到了分数阶微分方程反周期边值问题解的存在性与唯一性,并举例说明了结论的适用性.
    연구료일류분수계미분방정반주기변치문제,재련속함수f：[0,T]×R→R만족일정조건하,이용불동점정리득도료분수계미분방정반주기변치문제해적존재성여유일성,병거례설명료결론적괄용성.
    This paper discusses a class of anti-periodic fractional boundary value problems.As the continuous function f：×R→R can meet certain conditions,the existence and uniqueness of solutions for anti-periodic fractional boundary value problems are obtained by applying the fixed point theorem.In the end,several examples are given to illustrate the results.
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