TITLE:
Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs
AUTHORS:
Mohamed Adel, Mohamed M. Khader
KEYWORDS:
Nonlinear Programming, Penalty Function, Dynamic System, Caputo Fractional Derivative, Generalized Euler Method, RK4 Method
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.12,
December
14,
2017
ABSTRACT: In this paper, we introduce a numerical treatment using generalized Euler
method (GEM) for the non-linear programming problem which is governed
by a system of fractional differential equations (FDEs). The appeared fractional
derivatives in these equations are in the Caputo sense. We compare our
numerical solutions with those numerical solutions using RK4 method. The
obtained numerical results of the optimization problem model show the simplicity
and the efficiency of the proposed scheme.