TITLE:
A Fractional Model for the Single Stokes Pulse from the Nonlinear Optics
AUTHORS:
Mihai Ivan
KEYWORDS:
Fractional Stokes Pulse System, Fractional Stability, Fractional Euler Method, Numerical Integration
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.10,
October
9,
2022
ABSTRACT: In this paper we refer to equations of motion for the single Stokes pulse from the nonlinear optics, called the Stokes pulse system. A fractional-order model with Caputo derivative associated to Stokes pulse system (called the fractional Stokes pulse system) is proposed. The existence and uniqueness of solution of initial value problem for this fractional system are proved. The dynamic behavior for a special fractional Stokes pulse system is investigated, including: the fractional stability, the stabilization problem using suitable linear controls and the numerical integration based on fractional Euler method.