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

作　　者：张婷婷 胡卫敏 

机构地区：[1]伊犁师范大学数学与统计学院,新疆 伊宁

出　　处：《应用数学进展》2021年第11期3650-3658,共9页Advances in Applied Mathematics

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.

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—数学]