Lyapunov type inequality in the frame of generalized Caputo derivatives
type: Item
instance of: scholarly article
title: Lyapunov type inequality in the frame of generalized Caputo derivatives
zbMATH Open document ID: 1493.34025
author: F. Jarad
author: Y. Adjabi
author: Thabet Abdeljawad
author: Saed F. Mallak
author: Hussam Alrabaiah
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2021-12-08T00:00:00Z
review text: In this article, the authors study Lyapunov type inequalities for certain classes of fractional boundary value problems involving generalized Caputo fractional derivatives and subject to two point boundary conditions. As applications they use the obtained Lyapunov-type inequalities to obtain intervals where certain generalized Mittag-Leffler functions have no real zeros.
reviewed by: Sotiris K. Ntouyas
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 33E12
Mathematics Subject Classification ID: 34B09
zbMATH DE Number: 7440416
zbMATH Keywords: Lyapunov type inequality
zbMATH Keywords: generalized fractional integrals
zbMATH Keywords: generalized fractional derivatives
zbMATH Keywords: generalized Caputo fractional derivatives
zbMATH Keywords: generalized Mittag-Leffler function type
zbMATH Keywords: fractional boundary value problems
zbMATH Keywords: fractional eigenvalue problems
zbMATH Keywords: nontrivial solutions
zbMATH Keywords: zeros
zbMATH Keywords: Green's function
MaRDI profile type: Publication
full work available at URL: dcdss.2020212
OpenAlex ID: W2996410463
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DOI: 10.3934/DCDSS.2020212
description: scientific article; zbMATH DE number 7440416