Numerical solution of fractional dynamical systems with impulsive effects
Behrouz Parsa Moghaddam, Arman Dabiri, Zeinab Salamat Mostaghim, Zahra Moniri
Abstract
This paper proposes an effective numerical scheme for solving impulsive fractional differential equations. For this purpose, Hermite interpolation is used to approximate fractional-order integrals. The proposed methods convergence analysis is studied in detail by bounding the approximation error. Finally, the application and performance of the presented method are illustrated in two practical examples, including the impulsive control of the family of Lorenz systems, and the obtained results are compared with an existing method.
Topics & Concepts
MathematicsBounding overwatchConvergence (economics)Applied mathematicsInterpolation (computer graphics)Fractional calculusDynamical systems theoryNumerical analysisMathematical analysisComputer scienceEconomic growthEconomicsComputer graphics (images)PhysicsQuantum mechanicsArtificial intelligenceAnimationFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods