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Cancer treatment model with the Caputo-Fabrizio fractional derivative

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Abstract.

In this article, a model for cancer treatment is examined. The model is integrated into the Caputo-Fabrizio fractional derivative first, to examine the existence of the solution. Then, the uniqueness of the solution is investigated and we identified under which conditions the model provides a unique solution.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Art and Science, Agrı İbrahim Cecen Universtiy, Ağrı, Turkey

    Mustafa Ali Dokuyucu

  2. Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey

    Ercan Celik

  3. Department of Mathematics, Faculty of Science, Fırat University, 23100, Elazığ, Turkey

    Hasan Bulut

  4. Department of Computer Engineering, Faculty of Engineering, Munzur University, Tunceli, Turkey

    Haci Mehmet Baskonus

Authors
  1. Mustafa Ali Dokuyucu
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  2. Ercan Celik
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  3. Hasan Bulut
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  4. Haci Mehmet Baskonus
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Correspondence to Hasan Bulut.

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Ali Dokuyucu, M., Celik, E., Bulut, H. et al. Cancer treatment model with the Caputo-Fabrizio fractional derivative. Eur. Phys. J. Plus 133, 92 (2018). https://doi.org/10.1140/epjp/i2018-11950-y

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  • DOI: https://doi.org/10.1140/epjp/i2018-11950-y

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