Authors: Rabiaa Aouafi; Nacer Adjeroud
Addresses: Department of Mathematics, Oum El Bouaghi University, 04000, Algeria ' Department of Mathematics, Khenchela University, 40000, Algeria
Abstract: In this work, we establish some Lyapunov-type inequalities for the fractional boundary value problem of higher order under multi-point boundary conditions. In order to illustrate the results, we provide numerical example and we use this inequality to obtain an interval where linear combinations of certain Mettag-Leffler functions have no real zeros.
Keywords: fractional differential equation; Caputo's fractional derivative; Lyapunov inequalities; multi-point; Mittag-Leffler function.
International Journal of Dynamical Systems and Differential Equations, 2019 Vol.9 No.4, pp.380 - 391
Received: 22 Mar 2018
Accepted: 01 Oct 2018
Published online: 22 Nov 2019 *