应用数学2022，Vol.35Issue(1)：12-21,10.
具有p(t)-Laplacian算子的混合分数阶周期边值问题的可解性
Solvability of Mixed Fractional Periodic Boundary Value Problem with p(t)-Laplacian Operator
摘要
Abstract
In this paper, we investigate the mixed fractional periodic boundary value problem with p(t)-Laplacian operator. For making use of the continuation theorem to study the existence of solutions, we rewrite the original mixed fractional periodic boundary value problem as an equivalent system and obtain the existence results of solution under the appropriate conditions of the nonlinear term. The obtained results enriched and generalized the existing literatures. At last, an example is given out to demonstrate the main results.关键词
混合分数阶导数/周期边值条件/p(t)-Laplacian算子/存在性/连续定理Key words
Mixed fractional derivative/Periodic boundary value condition/p(t)-Laplacian operator/Existence/Continuation theorem分类
数理科学引用本文复制引用
汤小松,王志伟..具有p(t)-Laplacian算子的混合分数阶周期边值问题的可解性[J].应用数学,2022,35(1):12-21,10.基金项目
Supported by the National Natural Science Foundation of China(11761038)and Science and Technology Pro ject of Department of Education of Jiangxi Province(GJJ180583) （11761038）
