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Abstract
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In this article, we consider a fractal-fractional tobacco mathematical model with generalized
kernels of Mittag-Leer functions for qualitative and numerical studies. From qualitative point of
view, our study includes; existence criteria, uniqueness of solution and Hyers-Ulam stability. For the
numerical aspect, we utilize Lagrange’s interpolation polynomial and obtain a numerical scheme which
is further illustrated simulations. Lastly, a comparative analysis is presented for di erent fractal and
fractional orders. The numerical results are divided into four figures based on di erent fractal and
fractional orders. We have found that the fractional and fractal orders have a significant impact on the
dynamical behaviour of the model.
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