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Numerical Study Of Fractal Fractional Cancer Mathematical Model: With Qualitative Analysis

Author

Listed:
  • AZIZ KHAN

    (Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia)

  • THABET ABDELJAWAD

    (Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia†Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India§Department of Medical Research, China Medical University, Taichung 40402, Taiwan¶Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, 02447 Seoul, Korea∥Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Garankuwa, Medusa 0204, South Africa**Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally, 32093, Kuwait)

  • D. K. ALMUTAIRI

    (��Department of Mathematics, College of Science Al-Zulfi, Majmaah University, 11952 Al-Majmaah, Saudi Arabia)

Abstract

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.

Suggested Citation

  • Aziz Khan & Thabet Abdeljawad & D. K. Almutairi, 2025. "Numerical Study Of Fractal Fractional Cancer Mathematical Model: With Qualitative Analysis," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-17.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:04:n:s0218348x2540081x
    DOI: 10.1142/S0218348X2540081X
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