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has been cited by the following article:

• 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.