文献类型：期刊文献

英文题名：Periodic boundary value problem involving sequential fractional derivatives in Banach space

作者：Su, Xinwei[1];Zhang, Shuqin[1];Zhang, Lixin[2]

第一作者：Su, Xinwei

通讯作者：Su, XW[1]

机构：[1]China Univ Min & Technol Beijing, Dept Math, Ding 11 Xueyuan Rd, Beijing 100083, Peoples R China;[2]Beijing Union Univ, Dept Basic Courses, 97 Beisihuan East Rd, Beijing 100101, Peoples R China

第一机构：China Univ Min & Technol Beijing, Dept Math, Ding 11 Xueyuan Rd, Beijing 100083, Peoples R China

通讯机构：[1]corresponding author), China Univ Min & Technol Beijing, Dept Math, Ding 11 Xueyuan Rd, Beijing 100083, Peoples R China.

年份：2020

卷号：5

期号：6

起止页码：7510-7530

外文期刊名：AIMS MATHEMATICS

收录：;Scopus(收录号：2-s2.0-85091740675);WOS:【SCI-EXPANDED(收录号:WOS:000576304500046)】；

基金：The authors are grateful to the editor and referees for their valuable suggestions. This work is supported by the National Natural Science Foundation of China (11671181) and the Fundamental Research Funds for the Central Universities (2020YJSLX01).

语种：英文

外文关键词：fractional differential equation; periodic boundary value problem; monotone iterative; Banach space; existence and uniqueness

摘要：In this paper, by the method of upper and lower solutions coupled with the monotone iterative technique, we investigate the existence and uniqueness results of solutions for a periodic boundary value problem of nonlinear fractional differential equation involving conformable sequential fractional derivatives in Banach space. An example is given to illustrate our main result.