Speaker
Dr
Hardik Joshi
(LJ Institute of Engineering and Technology, LJ University)
Description
In this paper, we present a cancer model to study the complex interplay among stem cells, effectors cells, and tumor cells in the presence and absence of chemotherapy. We employed the novel fractal-fractional operator with a generalized Mittag-Leffler kernel to capture the non-local nature of cancer dynamics. The existence and uniqueness criteria of the fractal-fractional cancer model are derived. The stability analysis is performed in the Hyers-Ulam sense. The numerical experiment is performed to validate the theoretical results and examine the dynamic interaction among cells, the impact of chemotherapy, and various orders of fractal-fractional operators.
| Keywords | Mathematical model, cancer, chemotherapy, numerical simulation, stability analysis |
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Primary author
Dr
Hardik Joshi
(LJ Institute of Engineering and Technology, LJ University)
Co-author
Dr
Mehmet Yavuz
(Necmettin Erbakan University)
