Lyapunov-type inequalities for nonlinear fractional differential equation with Hilfer fractional derivative under multi-point boundary conditions

DOI10.1515/FCA-2018-0044zbMath1406.34024OpenAlexW2883991019WikidataQ115236515 ScholiaQ115236515MaRDI QIDQ1711816

Youyu Wang, Qichao Wang

Publication date: 18 January 2019

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

Full work available at URL: https://doi.org/10.1515/fca-2018-0044

zbMATH Keywords

Green's functionLyapunov inequalityfractional differential equationmulti-point boundary value problemHilfer fractional derivative

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (6)

Lyapunov-type inequalities for Hadamard fractional differential equation under Sturm-Liouville boundary conditions ⋮ Lyapunov-type inequalities for a nonlinear sequential fractional BVP in the frame of generalized Hilfer derivatives ⋮ Constructive existence of solutions of multi-point boundary value problem for Hilfer fractional differential equation at resonance ⋮ Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach ⋮ Lyapunov-type inequalities for sequential fractional boundary value problems using Hilfer's fractional derivative ⋮ Lyapunov-type inequalities for differential equation with Caputo-Hadamard fractional derivative under multipoint boundary conditions

Cites Work

• Lyapunov-type inequalities for a class of fractional differential equations
• Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions
• Generalized Cauchy type problems for nonlinear fractional differential equations with composite fractional derivative operator
• Lyapunov-type inequalities for a fractional \(p\)-Laplacian system
• 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 survey of useful inequalities in fractional calculus
• Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions
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