Lyapunov type inequalities for nonlinear fractional Hamiltonian systems in the frame of conformable derivatives

DOI10.3934/MFC.2023004MaRDI QIDQ6633203

Jing Shao, Qi Zhang

Publication date: 5 November 2024

Published in: Mathematical Foundations of Computing (Search for Journal in Brave)

zbMATH Keywords

Lyapunov-type inequalityconformable fractional derivativefractional Hamiltonian system

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Inequalities for sums, series and integrals (26D15) Fractional ordinary differential equations (34A08)

Cites Work

• Title not available (Why is that?)
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• On conformable fractional calculus
• Lyapunov type inequalities for the Riemann-Liouville fractional differential equations of higher order
• General conformable fractional derivative and its physical interpretation
• A generalized Lyapunov-type inequality in the frame of conformable derivatives
• A new definition of fractional derivative
• New integral inequalities with weakly singular kernel for discontinuous functions and their applications to impulsive fractional differential systems
• Lyapunov-type inequalities for the first-order nonlinear Hamiltonian systems
• Lyapunov type inequalities for Hammerstein integral equations and applications to population dynamics
• Lyapunov‐type inequalities for a class of fractional boundary value problems with integral boundary conditions
• On an oscillation criterion of de la Valleé Poussin

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