Back to Search
Start Over
Averaging Theory for Fractional Differential Equations.
- Source :
- Fractional Calculus & Applied Analysis; Apr2021, Vol. 24 Issue 2, p621-640, 20p
- Publication Year :
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- FRACTIONAL differential equations
CAPACITOR switching
APPLIED mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 13110454
- Volume :
- 24
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Fractional Calculus & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 153783440
- Full Text :
- https://doi.org/10.1515/fca-2021-0027