Recent developments of Lyapunov-type inequalities for fractional differential equations
Classical Analysis and ODEs
2018-05-01 v1
Abstract
A survey of results on Lyapunov-type inequalities for fractional differential equations associated with a variety of boundary conditions is presented. This includes Dirichlet, mixed, Robin, fractional, Sturm-Liouville, integral, nonlocal, multi-point, anti-periodic, conjugate, right-focal and impulsive conditions. Furthermore, our study includes Riemann-Liouville, Caputo, Hadamard, Prabhakar, Hilfer and conformable type fractional derivatives. Results for boundary value problems involving fractional -Laplacian, fractional operators with nonsingular Mittag-Leffler kernels, -difference, discrete, and impulsive equations, are also taken into account.
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Cite
@article{arxiv.1804.10760,
title = {Recent developments of Lyapunov-type inequalities for fractional differential equations},
author = {Sotiris K. Ntouyas and Bashir Ahmad and Theodoros P. Horikis},
journal= {arXiv preprint arXiv:1804.10760},
year = {2018}
}
Comments
Review article