Green's functions, positive solutions, and a Lyapunov inequality for a Caputo fractional-derivative boundary value problem

DOI10.1515/fca-2019-0041zbMath1426.34017OpenAlexW2964992656MaRDI QIDQ2328634

Xiangyun Meng, Martin Stynes

Publication date: 10 October 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2019-0041

zbMATH Keywords

Green's functionpositive solutionnonlinear boundary value problemLyapunov inequalityCaputo fractional derivative

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (5)

Lyapunov-type inequalities for Hadamard type fractional boundary value problems ⋮ Lyapunov-type inequalities for Hadamard fractional differential equation under Sturm-Liouville boundary conditions ⋮ Hartman-Wintner inequality for a Caputo fractional boundary value problem ⋮ The Green function for a class of Caputo fractional differential equations with a convection term ⋮ Lyapunov-type inequalities for a nonlinear fractional boundary value problem

Cites Work

• A generalized Lyapunov's inequality for a fractional boundary value problem
• A Lyapunov-type inequality for a fractional differential equation under a Robin boundary condition
• Lyapunov-type inequality for an anti-periodic fractional boundary value problem
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• Analysis of approximation methods for differential and integral equations
• The Green's function and a maximum principle for a Caputo two-point boundary value problem with a convection term
• On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function
• A Lyapunov-type inequality for a fractional boundary value problem
• A finite difference method for a two-point boundary value problem with a Caputo fractional derivative
• Positive solutions for boundary value problem of nonlinear fractional differential equation
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