Article citationsMore>>

Ahmed, H.M. (2018) Fractional Euler Method: An Effective Tool for Solving Fractional Differential Equations of Fractional Order. Journal of the Egyptian Mathematical Society, 26, 38-43.
https://doi.org/10.21608/JOEMS.2018.9460

has been cited by the following article:

• 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.