Global Stability for Fractional Diffusion Equations in Biological Systems
Khalid Hattaf, Noura Yousfi
Abstract
This paper proposes a new method of construction of Lyapunov functionals for the dynamical systems described by fractional differential equations and fractional partial differential equations. The proposed method is rigorously presented. Furthermore, the method is applied to establish the global stability of some fractional biological models with and without diffusion.
Topics & Concepts
Stability (learning theory)Fractional calculusMathematicsDynamical systems theoryDiffusionPartial differential equationApplied mathematicsDifferential equationLyapunov functionMathematical analysisComputer sciencePhysicsNonlinear systemThermodynamicsMachine learningQuantum mechanicsFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsSphingolipid Metabolism and Signaling