In this article, the reduced differential transform method is introduced to solve nonlinear fractional model of Tumor-Immune. The derivatives are described in Caputo sense. solutions derived using easy and very accurate. given by its signal flow diagram. Moreover, a simulation system Simulink MATLAB given. disease-free equilibrium stability point calculated. Formulation optimal control for canc...

This paper gives a general numerical scheme for the optimal control problem of fractional Birkhoffian systems. The forced Birkhoff equations within Riemann–Liouville derivatives are derived from Pfaff–Birkhoff–d’Alembert principle which includes as an external force term. Following strategy variational integrators, is directly discretized to develop equivalent discrete that served equality cons...

In this article, we develop a simple mathematical GNU Octave/MATLAB code that is easy to modify for the simulation of models governed by fractional-order differential equations, and resolution optimal control problems through Pontryagin's maximum principle (indirect approach control). For purpose, model respiratory syncytial virus (RSV) infection considered. The an improvement one first propose...