Variational Method to p-Laplacian Fractional Dirichlet Problem with Instantaneous and Noninstantaneous Impulses. (21st July 2020)

• Record Type: Journal Article
• Authors: Chen, Yiru; Gu, Haibo; Ma, Lina
• Other Names: Zhang Xinguang Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-07-21
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/8598323
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, a research has been done about the existence of solutions to the Dirichlet boundary value problem for p -Laplacian fractional differential equations which include instantaneous and noninstantaneous impulses. Based on the critical point principle and variational method, we provide the equivalence between the classical and weak solutions of the problem, and the existence results of classical solution for our equations are established. Finally, an example is given to illustrate the major result.