Stability Results for Nonlinear Fractional Differential Equations with Incommensurate Orders
Shaher Momani, Noureddine Djenina, Adel Ouannas, Iqbal M. Batiha
Abstract
This paper aims to establish some novel conditions for revealing the stability of nonlinear incommensurate fractional-order systems formulated using Caputo differential operator. This will be accomplished through introducing satisfactory proofs for these conditions with the help of using Lyapunov function method. All theoretical findings will be verified numerically by observing the wished stability is occurring on the systems at hand.
Topics & Concepts
Nonlinear systemStability (learning theory)MathematicsDifferential equationApplied mathematicsMathematical analysisPhysicsComputer scienceQuantum mechanicsMachine learningFractional Differential Equations SolutionsNumerical methods for differential equationsNonlinear Differential Equations Analysis