English

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 pp-Laplacian, fractional operators with nonsingular Mittag-Leffler kernels, qq-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}
}

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Review article