## An investigation of the complexities of a malignant tumor's fractional-order mathematical model

### Rakhi Singh, Vijay Kumar Gupta, Jyoti Mishra

DOI: http://dx.doi.org/10.15439/2022R28

Citation: Proceedings of the 2022 Seventh International Conference on Research in Intelligent and Computing in Engineering, Vu Dinh Khoa, Shivani Agarwal, Gloria Jeanette Rincon Aponte, Nguyen Thi Hong Nga, Vijender Kumar Solanki, Ewa Ziemba (eds). ACSIS, Vol. 33, pages 207–211 (2022)

Abstract. In this paper, model of a malignant tumor \& associated problems are examined using fractional-order method. We consider a case where the malignant tumor cells' net death rate is solely time-dependent. Fractional homotopy decomposition method (HDM) has been applied to determine model's series solution. The answer to the HDM is given using the Maclaurin expansion. This method's use of the Mathematica software package allows for fast and simple computation of series solutions, which is one of its benefits.

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