Approximation of the Mittag-Leffler Functions by Elementary Functions with Physics Applications | Chapter 8 | Current Perspective to Physical Science Research Vol. 7

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.

Author(s) Details:

Alvaro H. Salas S.,
Universidad Nacional de Colombia, Fizmako Research Group, Bogotá, Colombia.

Please see the link here: https://stm.bookpi.org/CPPSR-V7/article/view/13471