Lyapunov-type inequality for higher order left and right fractional p-Laplacian problems

In this paper, we consider a p-Laplacian eigenvalue boundary value problem involving both right Caputo and left Riemann-Liouville types fractional derivatives. To prove the existence of solutions, we apply the Schaefer's fixed point theorem. Furthermore, we present the Lyapunov inequality for t...

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Detalles Bibliográficos
Autores: Cabada Fernández, Alberto, Khaldi Rabah
Tipo de recurso: artículo
Fecha de publicación:2021
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:10347/38001
Acceso en línea:https://hdl.handle.net/10347/38001
Access Level:acceso abierto
Palabra clave:Fractional calculus
Lyapunov inequality
p-Laplacian operator
Eigenvalue problem
1202 Análisis y análisis funcional
Descripción
Sumario:In this paper, we consider a p-Laplacian eigenvalue boundary value problem involving both right Caputo and left Riemann-Liouville types fractional derivatives. To prove the existence of solutions, we apply the Schaefer's fixed point theorem. Furthermore, we present the Lyapunov inequality for the corresponding problem.