Saifullah, SayedAhmad, ShabirJarad, Fahd2024-04-252024-04-252022Saifullah, Sayed; Ahmad, Shabir; Jarad, F. (2022). "Study On The Dynamics Of A Pıecewise Tumor-Immune Interaction Model", Fractals, Vol.30, No.8, pp.18603-18615.0218348Xhttp://hdl.handle.net/20.500.12416/7942Many approaches have been proposed in recent decades to represent the behaviors of certain complicated global problems appearing in a variety of academic domains. One of these issues is the multi-step behavior that some situations exhibit. Abdon and Seda devised new operators known as "piecewise operators"to deal with such problems. This paper presents the dynamics of the tumor-immune-vitamins model in the sense of a piecewise derivative. The piecewise operator considered here is composed of classical and Caputo operators. The existence and uniqueness of the solution with a piecewise derivative are presented with the aid of fixed point results. With the help of the Newton polynomial, a numerical scheme is presented for the examined model. The attained results are visualized through simulations for different fractional orders.eninfo:eu-repo/semantics/openAccessCaputo OperatorNewton InterpolationPiecewise DerivativeTumor-Immune ModelArticle308186031861510.1142/S0218348X22402332