Two generalized Lyapunov-type inequalities for a fractional \(p\)-Laplacian equation with fractional boundary conditions

DOI10.1186/s13660-017-1374-3zbMath1360.26005OpenAlexW2610232059WikidataQ42289762 ScholiaQ42289762MaRDI QIDQ527796

Dapeng Xie, Chuanzhi Bai, Dandan Yang, Liu Yang

Publication date: 12 May 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1374-3

zbMATH Keywords

\(p\)-Laplacian operatorfractional boundary value problemLyapunov-type inequalityGuo-Krasnoselskii fixed point theorem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Control of turbulent flows (76F70) Fractional ordinary differential equations (34A08)

Related Items (7)

Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative ⋮ Existence results for a class of \(p\)-Laplacian fractional differential equations with integral boundary conditions ⋮ Recent Developments of Lyapunov–Type Inequalities for Fractional Differential Equations ⋮ Existence and uniqueness of solutions for fractional boundary value problems with \(p\)-Laplacian operator ⋮ The unique solution for a fractional \(q\)-difference equation with three-point boundary conditions ⋮ Lyapunov-type inequalities for sequential fractional boundary value problems using Hilfer's fractional derivative ⋮ Multiple positive solutions for fractional three-point boundary value problem with \(p\)-Laplacian operator

Cites Work

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• A generalized Lyapunov's inequality for a fractional boundary value problem
• A generalized Lyapunov inequality for a higher-order fractional boundary value problem
• Lyapunov-type inequalities for fractional partial differential equations
• Lyapunov-type inequalities for a fractional \(p\)-Laplacian equation
• Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function
• A Lyapunov-type inequality for a fractional boundary value problem
• Fractional boundary value problems and Lyapunov-type inequalities with fractional integral boundary conditions
• Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions
• Lyapunov-type inequalities for a higher order fractional differential equation with fractional integral boundary conditions

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