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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© 2021 Diogenes Co., Sofia
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- Anniversary of Prof. S.G. Samko, FC Events (FCAA–Volume 24–2–2021)
- Research Paper
- Operational calculus for the general fractional derivative and its applications
- Riesz potentials and orthogonal radon transforms on affine Grassmannians
- Characterizations of variable martingale Hardy spaces via maximal functions
- Survey Paper
- Contributions on artificial potential field method for effective obstacle avoidance
- Research Paper
- Self-similar cauchy problems and generalized Mittag-Leffler functions
- Asymptotic behavior of solutions of fractional differential equations with Hadamard fractional derivatives
- A boundary value problem for a partial differential equation with fractional derivative
- Operational calculus for the Riemann–Liouville fractional derivative with respect to a function and its applications
- Duality theory of fractional resolvents and applications to backward fractional control systems
- Kinetic solutions for nonlocal stochastic conservation laws
- A fractional analysis in higher dimensions for the Sturm-Liouville problem
- Averaging theory for fractional differential equations
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- Anniversary of Prof. S.G. Samko, FC Events (FCAA–Volume 24–2–2021)
- Research Paper
- Operational calculus for the general fractional derivative and its applications
- Riesz potentials and orthogonal radon transforms on affine Grassmannians
- Characterizations of variable martingale Hardy spaces via maximal functions
- Survey Paper
- Contributions on artificial potential field method for effective obstacle avoidance
- Research Paper
- Self-similar cauchy problems and generalized Mittag-Leffler functions
- Asymptotic behavior of solutions of fractional differential equations with Hadamard fractional derivatives
- A boundary value problem for a partial differential equation with fractional derivative
- Operational calculus for the Riemann–Liouville fractional derivative with respect to a function and its applications
- Duality theory of fractional resolvents and applications to backward fractional control systems
- Kinetic solutions for nonlocal stochastic conservation laws
- A fractional analysis in higher dimensions for the Sturm-Liouville problem
- Averaging theory for fractional differential equations