@article{MAKHILLJEAS201914217351,
    title = {Numerical Treatment of Fractional Tumor Immune System Model by
Adam-Bashforth Moulton Method},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {14},
    number = {2},
    pages = {495-501},
    year = {2019},
    issn = {1816-949x},
    doi = {jeasci.2019.495.501},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.495.501},
    author = {Ali F.,Majid M.,N.R.,A. and},
    keywords = {Fractional calculus,Adam-Bashforth-Moulton method,tumor-immune system,illustrate,memory,numerical simulations},
    abstract = {In this study, the fractional order of tumor cell growth and their interactions with effectors such as
cytotoxic T-cells, E<sub>1</sub>(t) and natural killer cells E<sub>2</sub>(t) are studied. The Adam-Bashforth-Moulton algorithm is used 1 2
to numerically solve and simulate the model of the tumor immune system with fractional order. From the
observation of the numerical result, reduces &alpha; from 1-0.75, decrease the maximum of tumor cells. Numerical
simulations illustrate that the fractional-order derivative enriches the dynamics of the system and increases the
complexity of the observed behaviors which confirms that the fractional-order may play the role of memory in
the system.}
    }