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

• Cabada, Alberto ; Khaldi, Rabah ^[1]
  1. [1] Badji Mokhtar Annaba University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 4, 2021, págs. 1031-1040
• Idioma: inglés
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• Resumen

  • 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.