Lyapunov's type inequalities for hybrid fractional differential equations

DOI10.1186/s13660-016-1114-0zbMath1353.34010OpenAlexW2468865819WikidataQ59462404 ScholiaQ59462404MaRDI QIDQ2629141

Surang Sitho, Weera Yukunthorn, Jessada Tariboon, Sotiris K. Ntouyas

Publication date: 20 July 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1114-0

zbMATH Keywords

boundary conditionsGreen's functionsRiemann-Liouville fractional derivativeLyapunov's inequalityhybrid fractional differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Inequalities involving derivatives and differential and integral operators (26D10) Fractional ordinary differential equations (34A08)

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Cites Work

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• Lyapunov-type inequalities for a class of fractional differential equations
• A Lyapunov-type inequality for a fractional differential equation under a Robin boundary condition
• Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions
• Lyapunov-type integral inequalities for certain higher order differential equations
• 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 for certain higher-order differential equations
• On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function
• Lyapunov-type inequality for a class of even-order differential equations
• A Lyapunov-type inequality for a fractional boundary value problem
• Nonexistence of solutions to a fractional differential boundary value problem
• Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions
• A Liapunov Inequality for Linear Hamiltonian Systems
• Lyapunov inequalities and stability for discrete linear Hamiltonian systems