On the asymptotic solutions of singulary perturbed differential systems of fractional order
Burkhan Kalimbetov, Elmyra Abylkasymova, Gulbakhram Beissenova
Abstract
In this paper, we consider an initial problem for systems of differential equations of fractional order with a small parameter for the derivative. A regularization problem is produced, and an algorithm for normal and unique solubility of general iterative systems of differential equations with partial derivatives is given. In the environment of the computer mathematical system Maple, approximate solutions are calculated, and corresponding solution schedules for various values of the small parameter are constructed.
Topics & Concepts
Order (exchange)Applied mathematicsMathematicsFractional calculusDifferential (mechanical device)Mathematical analysisPhysicsEconomicsThermodynamicsFinanceDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions