Variational approach to p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses. (June 2020)

• Record Type: Journal Article
• Authors: Zhou, Jianwen; Deng, Yumei; Wang, Yanning
• Is Part Of: Applied mathematics letters. Volume 104(2020)
• Publication Date: 2020-06
• Subjects: P-Laplacian fractional differential equations -- Instantaneous impulsive -- Non-instantaneous impulsive -- Variational method -- Inequality techniques; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106251
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, we studied the existence of solutions for fractional differential equations of p-Laplacian with instantaneous and non-instantaneous impulses. The existence of solutions for a class of fractional differential equations with instantaneous and non-instantaneous impulses is obtained by using the critical point theory. Finally, an example is given to illustrate the feasibility of the main results.