Lyapunov‐ and Hartman–Wintner‐type inequalities for a nonlinear fractional BVP with generalized <i><b>ψ</b></i>‐Hilfer derivative
Berrabah Fatima Zohra, Hedia Benaouda, Mokhtar Kirane
Abstract
In this paper, we extend Lyapunov‐ and Hartman–Wintner‐type inequalities for fractional differential equation with Dirichlet‐type boundary conditions and generalized Hilfer fractional derivative. An upper bound of eigenvalues of the corresponding problem is obtained; finally, a Hartman–Wintner‐type inequality is presented.
Topics & Concepts
MathematicsType (biology)Eigenvalues and eigenvectorsLyapunov functionFractional calculusNonlinear systemMathematical analysisBoundary value problemDirichlet boundary conditionApplied mathematicsEcologyPhysicsQuantum mechanicsBiologyNonlinear Differential Equations AnalysisDifferential Equations and Boundary ProblemsFractional Differential Equations Solutions