带p-Laplacian算子的一致分数阶Langevin方程边值问题解的存在性  

Existence of solutions for boundary value problems of conformable fractional Langevin equations with p-Laplacian operators

作　　者：唐兰英 周文学[1] 秦锐珍 曹美丽 TANG Lanying;ZHOU Wenxue;QIN Ruizhen;CAO Meili(Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《云南大学学报(自然科学版)》2025年第1期1-9,共9页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11961039).

摘　　要：运用Leray-Schauder非线性抉择、Schaefer不动点定理,研究了带p-Laplacian算子的一致分数阶Langevin方程边值问题解的存在性,在非线性项满足合理的假设条件下,得到了该边值问题解的存在性结果,并举例说明所得结果的适用性.The existence of solutions for boundary value problems of conformable fractional Langevin equations with p-Laplacian operators is investigated by using Leray-Schauder’s nonlinear alterative and Schaefer fixed theorem.Under the condition that the nonlinear term satisfies reasonable assumptions,the existence results of the solution to the boundary value problem are obtained.An example is given to show the applicability of the main results.

关 键 词：一致分数阶导数 LANGEVIN方程 LERAY-SCHAUDER非线性抉择 Schaefer不动点定理 P-LAPLACIAN算子 

分 类 号：O175.8[理学—数学]