摘要 研究了具P-Laplacian算子的Caputo分数阶微分方程反周期边值问题解的存在唯一性.根据反周期边值条件,构造了该问题的格林函数,利用P-Laplacian算子的逆算子非线性分析的原理,得到了该分边值问题解的存在唯一性. In this paper,we study the existence and uniqueness of solutions to counter-periodic boundary value problems for fractional differential equations with P-Laplacian operator.According to the counter-periodic boundary condition,the green function of the problem is constructed,and the existence and uniqueness of the solution are obtained by using the inverse operator nonlinear analysis principle of P-Laplacian operator.
机构地区 伊犁师范大学数学与统计学院
出处 《伊犁师范学院学报:自然科学版》 2020年第4期6-12,共7页 Journal of Yili Normal University:Natural Science Edition
基金 新疆维吾尔自治区自然科学基金资助项目(2019D01C331).
关键词 Caputo分数阶微分 P-LAPLACIAN算子 反周期 解的存在唯一性 Caputo fractional differential P-Laplacian operator the cycle the existence and uniqueness of solutions
分类号 O175.8 [理学—基础数学]
