关键词: Schaefer不动点定理, p(t)-Laplace算子, 分数阶Langevin方程, 参数型反周期边值问题

Abstract: By using Schaefer fixed point theorem, we discussed a class of parametric type anti-periodic boundary value problems of fractional La
ngevin equation with p(t)-Laplace operator, the existence result of solution was obtained by giving reasonable assumptions for nonlinear term, and the application of the main result was illustrated with an example.

Key words: Schaefer fixed point theorem, p(t)-Laplace operator, fractional Langevin equation, parametric type anti-periodic boundary value problem