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

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DOI: 10.4236/am.2017.812126    832 Downloads   1,848 Views  Citations

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.

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Adel, M. and Khader, M. (2017) Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs. Applied Mathematics, 8, 1761-1768. doi: 10.4236/am.2017.812126.

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