期刊
出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218348X22402332
关键词
Tumor-Immune Model; Piecewise Derivative; Caputo Operator; Newton Interpolation
This paper presents a new operator for dealing with multi-step behaviors in complicated global problems and investigates the dynamics of the tumor-immune-vitamins model using piecewise derivatives. The existence and uniqueness of solutions with piecewise derivatives are established, and a numerical scheme using Newton polynomials is proposed. Visualizations of the results for different fractional orders are provided through simulations.
Many 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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据