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

Abstract 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 in...

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Autores principales: Cabada,Alberto, Khaldi,Rabah
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000401031
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Sumario:Abstract 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.