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Numerical Solutions for Time-Fractional Cancer Invasion System With Nonlocal Diffusion

Article scientifique 2019 Anglais

Résumé

This article studies the existence and uniqueness of a weak solution of the time-fractional cancer invasion system with nonlocal diffusion operator. Existence and uniqueness results are ensured by adapting the Faedo-Galerkin method and some a priori estimates. Further, finite element numerical scheme is implemented for the considered system. Finally, various numerical computations are performed along with the convergence analysis of the scheme.

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Manimaran, J., Shangerganesh, L., Debbouche, A., Antonov, V. (2019). Numerical Solutions for Time-Fractional Cancer Invasion System With Nonlocal Diffusion. https://doi.org/10.3389/fphy.2019.00093

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Auteur(s)

J. Manimaran L. Shangerganesh Amar Debbouche Valery Antonov

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