Asymptotic stability in Caputo-Hadamard fractional dynamic equations
Abdelouaheb Ardjouni
Abstract
In this work, we investigate the asymptotic stability of the zero solution for Caputo-Hadamard fractional dynamic equations on a time scale. We will make use of the Krasnoselskii fixed point theorem in a weighted Banach space to show new stability results.
Topics & Concepts
Hadamard transformMathematicsBanach spaceExponential stabilityStability (learning theory)Dynamic equationFixed-point theoremFractional calculusZero (linguistics)Applied mathematicsWork (physics)Mathematical analysisSpace (punctuation)Computer sciencePhysicsNonlinear systemLinguisticsQuantum mechanicsThermodynamicsPhilosophyMachine learningOperating systemFractional Differential Equations SolutionsNonlinear Differential Equations Analysis