In this article, the numerical model of fractional tumor immunity has been described. The schematic of a signal flow of the structure model has been discussed. In the formulation of optimal control, the stability of this model at its equilibrium point will be studied. The error-estimated model has been studied. In addition to this, the optimal control of their form as well as the numerical approach for the simulation of the control problem, are both brought up and examined. The evidence that demonstrates has been presented the existence of the solution. An algorithm modelled after the generalized Adams-Bashforth-Moulton style (GABMS) has been used to solve the fractional tumor immune model. The memristor-based controlled form has been applied and proven to add a memristor impact as the returns code on the second scheme x2 of the main scheme. This amendment is predicated on changing the form to a memristive one for the first time because such a notion is being utilized for the first time to control this ailment. The dissection results have been interpreted using numerical simulations we created. To calculate the results has relied on the Maple 15 programming language.