Approximation of the Mittag-Leffler Functions by Elementary Functions with Physics Applications

Salas S., Alvaro H. (2024) Approximation of the Mittag-Leffler Functions by Elementary Functions with Physics Applications. In: Current Perspective to Physical Science Research Vol. 7. B P International, pp. 138-163. ISBN 978-81-970571-6-8 (

Full text not available from this repository.

Abstract

In this paper we give approximations to the Mittag-Leffler functions in terms of elementary functions using different methods. This allowed us to establish a practical method we called integerization principle. This principle states that many fractional nonlinear oscillators may be solved by means of the solution to some integer-order Duffing oscillator equation. The accuracy of the obtained results is illustrated in concrete examples. Formulas for estimating the errors in the approximations are also provided.

Item Type: Book Section
Subjects: Science Repository > Physics and Astronomy
Depositing User: Managing Editor
Date Deposited: 20 Feb 2024 11:45
Last Modified: 20 Feb 2024 11:45
URI: http://research.manuscritpub.com/id/eprint/3981

Actions (login required)

View Item
View Item