In this paper, perturbed systems of impulsive nonlinear fractional differential equations, including Lipschitz continuous nonlinear terms, are studied. The existence of at least three distinct weak solutions is obtained based on a recent three critical points theorem for differentiable functionals. In addition, examples are presented to illustrate the feasibility and effectiveness of the main results.

A variational approach to perturbed impulsive fractional differential equations

Heidarkhani Shapour
Primo
;
Caristi Giuseppe
Ultimo
2018-01-01

Abstract

In this paper, perturbed systems of impulsive nonlinear fractional differential equations, including Lipschitz continuous nonlinear terms, are studied. The existence of at least three distinct weak solutions is obtained based on a recent three critical points theorem for differentiable functionals. In addition, examples are presented to illustrate the feasibility and effectiveness of the main results.
2018
File in questo prodotto:
File Dimensione Formato  
shapour 24.pdf

solo utenti autorizzati

Tipologia: Versione Editoriale (PDF)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 3.88 MB
Formato Adobe PDF
3.88 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3126247
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 15
  • ???jsp.display-item.citation.isi??? 17
social impact