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Averaging theory for fractional differential equations

  • Guanlin Li EMAIL logo and Brad Lehman
Published/Copyright: May 9, 2021

Abstract

The theory of averaging is a classical component of applied mathematics and has been applied to solve some engineering problems, such as in the filed of control engineering. In this paper, we develop a theory of averaging on both finite and infinite time intervals for fractional non-autonomous differential equations. The closeness of the solutions of fractional no-autonomous differential equations and the averaged equations has been proved. The main results of the paper are applied to the switched capacitor voltage inverter modeling problem which is described by the fractional differential equations.

Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant number 51307013. Thanks to China Scholarship Council for sponsoring the first author to visit the Northeastern University.

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Received: 2019-09-25
Revised: 2021-04-06
Published Online: 2021-05-09
Published in Print: 2021-04-27

© 2021 Diogenes Co., Sofia

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