A Survey on Recent Results on Lyapunov-Type Inequalities for Fractional Differential Equations
Sotiris K. Ntouyas, Bashir Ahmad, Jessada Tariboon
Abstract
This survey paper is concerned with some of the most recent results on Lyapunov-type inequalities for fractional boundary value problems involving a variety of fractional derivative operators and boundary conditions. Our work deals with Caputo, Riemann-Liouville, ψ-Caputo, ψ-Hilfer, hybrid, Caputo-Fabrizio, Hadamard, Katugampola, Hilfer-Katugampola, p-Laplacian, and proportional fractional derivative operators.
Topics & Concepts
MathematicsFractional calculusLyapunov functionType (biology)Boundary value problemVariety (cybernetics)Mathematical analysisApplied mathematicsNonlinear systemPhysicsBiologyStatisticsEcologyQuantum mechanicsNonlinear Differential Equations AnalysisDifferential Equations and Boundary ProblemsFractional Differential Equations Solutions