Recent Developments of Lyapunov–Type Inequalities for Fractional Differential Equations

Sotiris K. Ntouyas (), Bashir Ahmad () and Theodoros P. Horikis ()
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Sotiris K. Ntouyas: University of Ioannina
Bashir Ahmad: Department of Mathematics, Faculty of Science, King Abdulaziz University
Theodoros P. Horikis: University of Ioannina

A chapter in Differential and Integral Inequalities, 2019, pp 619-686 from Springer

Abstract: 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 p-Laplacian, fractional operators with nonsingular Mittag–Leffler kernels, q-difference, discrete, and impulsive equations are also taken into account.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-27407-8_24

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DOI: 10.1007/978-3-030-27407-8_24

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