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arxiv: 1804.10760 · v1 · pith:E5WTNCLNnew · submitted 2018-04-28 · 🧮 math.CA

Recent developments of Lyapunov-type inequalities for fractional differential equations

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keywords fractionalequationsboundaryconditionsdifferentialimpulsiveincludesinequalities
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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.

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