In this study, we introduce a nonlinear leukemia dynamical system for a piecewise modified ABC fractional-order derivative and analyze it for the theoretical as well computational works and examine the crossover effect of the model. For the crossover behavior of the operators, we presume a division of the period of study [0,t2] in two subclasses as I1=[0,t1], I2=[t1,t2], for t1,t2∈R with t1<t2. In I1, the classical derivative is considered for the study of the leukemia growth while in I2 we presume modified ABC fractional differential operator. As a result, the study is initiated in the piecewise modified ABC sense of derivative for the dynamical systems. The novel constructed model is then studied for the solution existence and stability as well computational results. The symmetry in dynamics for all the three classes can be graphically observed in the presented six plots.

More from our Archive

• DOI: 10.1063/5.0152064 2023

  Two-dimensional 4<i>f</i> magnetic EuSn2X2 (X = P, As) monolayers: A first-principles study

  Yihang Bai, Yaxuan Wu, Chaobin Jia, Lipeng Hou, Bing Wang

• DOI: 10.3390/sym15071324 2023

  The Analysis of Bifurcation, Quasi-Periodic and Solitons Patterns to the New Form of the Generalized q-Deformed Sinh-Gordon Equation

  Syeda Sarwat Kazmi, Adil Jhangeer, Nauman Raza, Haifa I. Alrebdi, Abdel-Haleem Abdel-Aty, Hichem Eleuch

• DOI: 10.1063/5.0147450 2023

  Giant spin-splitting and tunable spin-momentum locked transport in room temperature collinear antiferromagnetic semimetallic CrO monolayer

  Xin Chen, Duo Wang, Linyang Li, Biplab Sanyal

• DOI: 10.3390/sym15071338 2023

  Nonlinear Dynamics of a Piecewise Modified ABC Fractional-Order Leukemia Model with Symmetric Numerical Simulations

  Hasib Khan, Jehad Alzabut, Wafa F. Alfwzan, Haseena Gulzar

• DOI: 10.1063/5.0147941 2023

  Acoustic metamaterial absorbers: The path to commercialization

  Min Yang, Ping Sheng

• DOI: 10.3390/sym15071433 2023

  Solitary Solutions for the Stochastic Fokas System Found in Monomode Optical Fibers

  Wael W. Mohammed, Farah M. Al-Askar, Clemente Cesarano

• DOI: 10.1063/5.0155310 2023

  Ohmic contacts in MXene/MoSi2N4 heterojunctions

  Xiang Zhang, Jun-Yue Zheng, Yu-Cui Xiang, Di Wu, Jing Fan, Yi-Yang Sun, Li-Juan Chen, Li-Yong Gan, Xiaoyuan Zhou

• DOI: 10.3390/sym15071405 2023

  I.V-CR-γ-Convex Functions and Their Application in Fractional Hermite–Hadamard Inequalities

  Miguel Vivas-Cortez, Sofia Ramzan, Muhammad Uzair Awan, Muhammad Zakria Javed, Awais Gul Khan, Muhammad Aslam Noor

• DOI: 10.22331/q-2023-07-12-1058 2023

  A scalable and fast artificial neural network syndrome decoder for surface codes

  Spiro Gicev, Lloyd C. L. Hollenberg, Muhammad Usman

• DOI: 10.3390/sym15071402 2023

  Islands in Generalized Dilaton Theories

  Jia Tian