TY - JOUR AU - Khader, Mohamed M. AU - Alqahtani, Rubayyi T. PY - 2017 TI - Approximate solution for system of fractional non-linear dynamical marriage model using Bernstein polynomials JO - Journal of Nonlinear Sciences and Applications SP - 865--873 VL - 10 IS - 3 AB - This paper is devoted to present the approximate solutions with helping of an efficient numerical method for the nonlinear coupled system of dynamical marriage model in the fractional of Riemann-Liouville sense (FDMM). The proposed system describes the dynamics of love affair between a couple. The proposed method is dependent on the use of useful properties of the operational matrices of Bernstein polynomials. The operational matrices for the fractional integration in the Riemann-Liouville sense and the product are used to reduce FDMM to the solution of non-linear system of algebraic equations using Newton iteration method. Numerical simulation is given to show the validity and the accuracy of the proposed algorithm. We introduce a comparison with the obtained solution using Runge-Kutta method. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.03.02 DO - 10.22436/jnsa.010.03.02 ID - Khader2017 ER -