Existence, uniqueness and synchronization of a fractional tumor growth model in discrete time with numerical results

• DOI: 10.1016/j.rinp.2023.107030
• Publication Date: 2023-10-05T09:36:19Z
• Authors: Jehad Alzabut; R. Dhineshbabu; A. George M. Selvam; J.F. Gómez-Aguilar; Hasib Khan
• Keywords: Operator (biology)

A mathematical model of discrete fractional equations with initial condition is constructed to study the tumor-immune interactions in this research. The a system two nonlinear difference sense Caputo operator. applications Banach's and Leray-Schauder's fixed point theorems are used analyze existence results for proposed model. Additionally, we developed several kinds Ulam's stability suggested map's dynamic behavior numerical analyzed some special cases. Further, adaptive control law stabilize map scheme introduced enhance synchronization