| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2024-0053 |
| Numerical solution and optimal control for fractional tumor immune model |
| Amr Mahdy |
| Keywords:Fractional tumour immune GABMS optimal control memristive. |
| Abstract: |
| In this article, the numerical model of fractional tumor immunity has been described. We have proved and analyzed the model does have a stable solution. 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. We have presented evidence that demonstrates the existence of the solution. We use an algorithm modeled after the generalized Adams-Bashforth-Moulton style (GABMS) to solve the fractional tumor immune model. 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, we relied on the Maple 15 programming language. |
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