Lyapunov-type inequality and solution for a fractional differential equation

DOI10.1186/S13660-020-02448-ZzbMath1503.34025OpenAlexW3040272440WikidataQ115241560 ScholiaQ115241560MaRDI QIDQ2069508

Zifa Yang, De-Xiang Ma

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02448-z

zbMATH Keywords

Green's functioncontraction mapping theoremfractional differential equationLyapunov-type inequality

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Green's functions for ordinary differential equations (34B27) Differential inequalities involving functions of a single real variable (34A40) Fractional ordinary differential equations (34A08)

Related Items (1)

Hartman-Wintner inequality for a Caputo fractional boundary value problem

Cites Work

• 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
• Boundary value problem for linear and nonlinear fractional differential equations
• On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function
• A Lyapunov-type inequality for a fractional boundary value problem
• Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions
• Hartman-Wintner-type inequalities for a class of nonlocal fractional boundary value problems
• A Lyapunov-type inequality for a fractional differential equation under Sturm-Liouville boundary conditions

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