Special Session 4: Delay and Functional Differential Equations and Applications
Delay on time of Fractional Diabetes Model with Optimal Control, Numerical Treatments
Muner Abou Hasan
emirates aviation university United Arab Emirates
Co-Author(s): Muner M. Abou Hasan, Hannah Al Ali, Zindoga Mukandavire, Seham M. Al-Mekhlafi
Abstract:
In this paper, we presented the fractional optimal control of the diabetes disease mathematical model with time delay. The fractional order operator is defined in the Caputo sense. A control variable is considered to reduce the glucose in the blood by controlling insulin. The discretization of the nonstandard finite difference and Gr\{u}nwald$-$Letnikov is constructed to solve the obtained optimality system numerically. The stability analysis of the proposed method is studied. Numerical examples and comparative studies for testing the applicability of the utilized method and to show the simplicity of this approximation approach are presented.