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In this paper, we construct the complex cancer network disease model with the Fractal-Fractional integral insight of modified Mittag-Leffler kernel to measure the effect of Celyvir (Genes therapy). For biologically feasible studies, fixed point theorems are used to analyze positivity, existence, boundedness of solutions, and uniqueness. Numerical simulations are generated with a two-step Lagrange polynomial method at different fractional order values by using the modified Atangana-Baleanu Caputo (Mittag Leffler kernel). To measure the convergence and better effect of gene therapy with the proposed method results are compared with another singular and non-singular operator. Numerical simulations help to demonstrate the theoretical findings and impact of treatment on cancer cells and how it is harmful to human life.

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Treatment of Cancer Disease with Modified ABC Derivative: Mathematical Analysis and Modeling

  • 会议论文

  • 发表日期：

    2025年

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  • Muhammad Farman,
  • Khadija Jamil,
  • Dumitru Baleanu,
  • Evren Hincal

摘要

In this paper, we construct the complex cancer network disease model with the Fractal-Fractional integral insight of modified Mittag-Leffler kernel to measure the effect of Celyvir (Genes therapy). For biologically feasible studies, fixed point theorems are used to analyze positivity, existence, boundedness of solutions, and uniqueness. Numerical simulations are generated with a two-step Lagrange polynomial method at different fractional order values by using the modified Atangana-Baleanu Caputo (Mittag Leffler kernel). To measure the convergence and better effect of gene therapy with the proposed method results are compared with another singular and non-singular operator. Numerical simulations help to demonstrate the theoretical findings and impact of treatment on cancer cells and how it is harmful to human life.