Existence of Solutions for a Periodic Boundary ValueProblem with Impulse and Fractional Derivative Dependence. (29th December 2020)

• Record Type: Journal Article
• Authors: Li, Yaohong; Wang, Yongqing; O'Regan, Donal; Xu, Jiafa
• Other Names: Qin Xiaolong Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2020(2020)
• Publication Date: 2020-12-29
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2020/6625056
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. In particular, we discuss the existence of solutions of a class of fractional-order impulsive periodic boundary values with nonlinear terms and impulsive terms satisfying certain growth conditions. Three examples are provided to illustrate our results.