NUMERICAL STUDY OF FRACTAL FRACTIONAL CANCER MATHEMATICAL MODEL: WITH QUALITATIVE ANALYSIS

Breast cancer is the second foremost reason of death among women worldwide. Treatment approaches aim to remove cancer cells through surgical removal, chemotherapy, or disordering signals that are compulsory for cancer cell division. Nevertheless, these treatments can frequently have contrary effects on patients. For instance, chemotherapy, a usual method for breast cancer, can adversely impact heart health, indicating a condition known as cardiotoxicity. This highlights the complexity and challenges that include handling breast cancer efficiently, balancing the assistance of treatment with potential risks to total health, and containing cardiac function. We consider the fractal fractional Cancer model (FFCM) to investigate well-posedness related to the existence of solutions, and boundedness by using Schauder fixed point theorem. Further, the theoretical approach of Hyres-Ulam stability (HUS) has been employed for the stability analysis, by utilizing the Adams–Bashforth–Moulton numerical technique to achieve numerical results for the FFCM. Different scenarios of fractional-order of the posed model and strategies are illustrated graphically.