Lyapunov-type inequality for the Hadamard fractional boundary value problem on a general interval [a, b]

DOI10.7153/JMI-2019-13-54zbMath1425.34016OpenAlexW2979348842MaRDI QIDQ5244246

Qing-Hua Ma, Nacer Adjeroud, Zaid Laadjal

Publication date: 20 November 2019

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-54

zbMATH Keywords

Green's functionboundary value problemLyapunov-type inequalityHadamard fractional derivativeHartman-Wintner-type inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Differential inequalities involving functions of a single real variable (34A40) Fractional ordinary differential equations (34A08)

Related Items (8)

Lyapunov-type inequalities for Hadamard type fractional boundary value problems ⋮ Lyapunov-type inequalities for Hadamard fractional differential equation under Sturm-Liouville boundary conditions ⋮ Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative ⋮ Lyapunov-type inequalities for fractional Langevin differential equations ⋮ Sharp estimates for the unique solution of the Hadamard-type two-point fractional boundary value problems ⋮ An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions ⋮ Lyapunov-type inequalities for differential equation with Caputo-Hadamard fractional derivative under multipoint boundary conditions ⋮ Lyapunov-type inequalities for differential equation involving one-dimensional Minkowski-curvature operator

Cites Work

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• Hartman-Wintner-type inequality for a fractional boundary value problem via a fractional derivative with respect to another function
• Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions
• A Lyapunov-type inequality for a fractional differential equation with Hadamard derivative

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