A variational approach to perturbed impulsive fractional differential equations

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....

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Detalles Bibliográficos
Autores: Heidarkhani, Shapour, Cabada Fernández, Alberto, Afrouzi, Ghasem Alizadeh, Moradi, S., Caristi, G.
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/45141
Acceso en línea:https://hdl.handle.net/10347/45141
Access Level:acceso abierto
Palabra clave:Three solutions
Fractional differential equation
Impulsive effect
Variational methods
Critical point theory
1202 Análisis y análisis funcional
Descripción
Sumario: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.