Infinitely many solutions for perturbed impulsive fractional differential systems. Issue 8 (11th June 2017)

• Record Type: Journal Article
• Authors: Heidarkhani, Shapour; Zhao, Yulin; Caristi, Giuseppe; Afrouzi, Ghasem A.; Moradi, Shahin
• Is Part Of: Applicable analysis. Volume 96:Issue 8(2017)
• Page Start: 1401
• Page End: 1424
• Publication Date: 2017-06-11
• Subjects: Infinity many solutions -- fractional differential equations -- impulsive effect -- variational methods -- critical point theory; 26A33 -- 34B15 -- 35A15 -- 34B15 -- 34K45 -- 58E05; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1192147
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, the existence of infinitely many solutions for perturbed systems of impulsive non-linear fractional differential equations including Lipschitz continuous non-linear terms is discussed. The approach is based on variational methods. In addition, examples are presented to illustrate the feasibility and effectiveness of the main results.