Abstract：In this paper， we investigate the existence of solutions for Langevin fractional differential inclusions with anti-periodic boundary value conditions：where Dα is the Caputo fractional derivative of order α，F：[0,1]×X→P(X) is a multivalued map，λ is a constant. By means of some standard fixed point theorems， sufficient conditions for the existence of solutions for the fractional differential inclusions are presented. Our results generalize the single known results to the multi-valued ones.
杨 丹 丹. 带有反周期边值条件的分数阶Langevin微分包含解的存在性[J]. 华中师范大学学报(自然科学版), 2021, 55(1): 1-6.
YANG Dandan. Existence of solutions for fractional Langevin differential inclusions with anti-periodic boundary value conditions. journal1, 2021, 55(1): 1-6.
2021, Vol. 55 
