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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
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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。 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.
作者 张婷婷 胡卫敏
机构地区 伊犁师范大学数学与统计学院
出处 《应用数学进展》 2021年第11期3650-3658,共9页 Advances in Applied Mathematics
关键词 反周期边值条件 不动点定理 P-LAPLACIAN算子 奇异
分类号 O17 [理学—基础数学]
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应用数学进展
2021年 第11期

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