Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs  

作　　者：Mohamed Adel Mohamed M. Khader 

机构地区：[1]Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt [2]Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

出　　处：《Applied Mathematics》2017年第12期1761-1768,共8页应用数学（英文）

摘　　要：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.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.

关 键 词：Nonlinear Programming PENALTY Function Dynamic SYSTEM Caputo Fractional DERIVATIVE Generalized EULER METHOD RK4 METHOD 

分 类 号：O1[理学—数学]