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

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
Materias:
Fractional calculus
Lyapunov inequality
p-Laplacian operator
Eigenvalue problem
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000401031
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spelling oai:scielo:S0716-091720210004010312021-08-12Lyapunov-type inequality for higher order left and right fractional p-Laplacian problemsCabada,AlbertoKhaldi,Rabah Fractional calculus Lyapunov inequality p-Laplacian operator Eigenvalue problem 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.4 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000401031en10.22199/issn.0717-6279-4366
institution Scielo Chile
collection Scielo Chile
language English
topic Fractional calculus
Lyapunov inequality
p-Laplacian operator
Eigenvalue problem
spellingShingle Fractional calculus
Lyapunov inequality
p-Laplacian operator
Eigenvalue problem
Cabada,Alberto
Khaldi,Rabah
Lyapunov-type inequality for higher order left and right fractional p-Laplacian problems
description 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.
author Cabada,Alberto
Khaldi,Rabah
author_facet Cabada,Alberto
Khaldi,Rabah
author_sort Cabada,Alberto
title Lyapunov-type inequality for higher order left and right fractional p-Laplacian problems
title_short Lyapunov-type inequality for higher order left and right fractional p-Laplacian problems
title_full Lyapunov-type inequality for higher order left and right fractional p-Laplacian problems
title_fullStr Lyapunov-type inequality for higher order left and right fractional p-Laplacian problems
title_full_unstemmed Lyapunov-type inequality for higher order left and right fractional p-Laplacian problems
title_sort lyapunov-type inequality for higher order left and right fractional p-laplacian problems
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000401031
work_keys_str_mv AT cabadaalberto lyapunovtypeinequalityforhigherorderleftandrightfractionalplaplacianproblems
AT khaldirabah lyapunovtypeinequalityforhigherorderleftandrightfractionalplaplacianproblems
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