Regularization Method for Nonlinear Singularly Perturbed Systems of Fractional Order

Burkhan Kalimbetov, Riskeldy Turgunbaev


The paper is devoted to construction of an asymptotic solution of a weakly nonlinear singularly perturbed differential system of fractional order. To construct the asymptotic solution we use ideas of normal differential forms method of V.F. Safonov. In the environment of the computer mathematical system Maple, approximate solutions are calculated, and corresponding solution schedules for various values of a small parameter are constructed.


Nonlinear differential equation of fractional order, regularization, asymptotic, iteration problems, normal and unique solvability, computer mathematics system Maple.

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