一类具P-Laplacian算子的分数阶奇异微分方程反周期边值问题解的存在性与唯一性
Existence and Uniqueness on Solutions for Anti-Periodic Boundary Value Problems of Singular Fractional Differential Equations with P-Laplacian Operator
DOI: 10.12677/AAM.2021.1011386, PDF,    科研立项经费支持
作者: 张婷婷, 胡卫敏：伊犁师范大学数学与统计学院，新疆 伊宁
关键词: 反周期边值条件；不动点定理；P-Laplacian算子；奇异；Anti-Periodic Boundary Value Problems； Fixed Point Theorem； P-Laplacian Operator； Singular
摘要: 研究一类具-Laplacian算子的分数阶微分方程奇异反周期边值问题，运用Krasnosel’skiis不动点定理及Banach压缩映像原理，证明了解的存在性与唯一性。
Abstract: The existence and uniqueness of solutions about anti-periodic boundary value problems of singular fractional differential equations with P-Laplacian operator will be studied. I will apply Krasnosel’skiis fixed point theorem and Banach compression image principle, to carry out the existence and uniqueness upon the solution of the equation.
文章引用：张婷婷, 胡卫敏. 一类具P-Laplacian算子的分数阶奇异微分方程反周期边值问题解的存在性与唯一性[J]. 应用数学进展, 2021, 10(11): 3650-3658. https://doi.org/10.12677/AAM.2021.1011386

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