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含参数的非线性分数阶微分方程边值问题解的存在性和多重性

The Existence and Multiplicity of Solutions to Boundary Value of Parametric Nonlinear Fractional Differential Equation
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摘要 研究了含参数的分数阶微分方程边值问题,用锥拉伸和压缩不动点定理及Leggett-Williams不动点定理得到了解的存在性和多重性。 This paper studies the problem of boundary value of parametric fractional differential equations.It proves the existence and multiplicity of its solutions on the basis of cone expansion,cone contraction fixed point theorem and the Leggett-Williams fixed point theorem.
作者 张海丽 ZHANG Haili(Department of Basic Courses,Shanxi Traffic Vocational and Technical College,Taiyuan 030031,Shanxi)
出处 《攀枝花学院学报》 2019年第5期85-88,共4页 Journal of Panzhihua University
关键词 分数阶微分方程 边值问题 不动点定理 fractional differential equation the problem of boundary value fixed point theorem
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