On the asymptotic solutions of singulary perturbed differential systems of fractional order

Kalimbetov B. Abylkasymova E. Beissenova G.
2022 International Scientific Research Publications

Journal of Mathematics and Computer Science
2022 #24 Issue 2 165 - 172 pp.

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.

Asymptotic , Differential equation of fractional order , Iterative problems , Matrix-function , Normal and unique solvability , Regularization , Vector-function

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Khoja Ahmet Yasawi International Kazakh-Turkish University, B. Sattarkhanov 29, Turkestan, Kazakhstan
University of Friendship of People’s Academican A. Kuatbekov, Toleby 32, Shymkent, Kazakhstan
M. Auezov South Kazakhstan University, Take-Khan avenue 7, Shymkent, Kazakhstan

Khoja Ahmet Yasawi International Kazakh-Turkish University
University of Friendship of People’s Academican A. Kuatbekov
M. Auezov South Kazakhstan University

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