Solvability and Ulam-Hyers stability analysis for nonlinear piecewise fractional cancer dynamic systems

S Khan, K Shah, A Debbouche, S Zeb… - Physica Scripta, 2024 - iopscience.iop.org
We examine a nonlinear dynamical model that depicts the interaction between cancerous
cells and an oncolytic virus. For best modelling the disease, we use the Caputo fractional …

Design of intelligent hybrid NAR-GRNN paradigm for fractional order VDP chaotic system in cardiac pacemaker with relaxation oscillator

AH Bukhari, MAZ Raja, H Alquhayz… - Chaos, Solitons & …, 2023 - Elsevier
Managing cardiac disease and abnormal heart rate variability is a challenging problem with
its psychological impact on lifesaving intervention. The research presents a novel machine …

Numerical investigation of fractional order chaotic systems using a new modified Runge-Kutta method

AS Lekshmi, V Balakumar - Physica Scripta, 2024 - iopscience.iop.org
This article introduces a new modified two-stage fractional Runge-Kutta method for solving
fractional order dynamical systems. The non-integer order derivative is considered in the …

On Taylor's formulas in fractional calculus: overview and characterization for the Caputo derivative

R Nuca, M Parsani - Fractional Calculus and Applied Analysis, 2024 - Springer
This paper discusses some aspects of Taylor's formulas in fractional calculus, focusing on
use of Caputo's definition. Such formulas consist of a polynomial expansion whose …

A novel hybrid method with convergence analysis for approximation of HTLV-I dynamics model

M Molavi-Arabshahi, J Rashidinia, M Yousefi - Scientific Reports, 2024 - nature.com
This paper presents a novel numerical approach for approximating the solution of the model
describing the infection of CD 4+ T-cells by the human T-cell lymphotropic virus I (HTLV-I) …

ЧИСЛЕННЫЙ ПОДХОД К РЕАЛИЗАЦИИ РЕЛАКСАЦИОННОЙ ДРОБНО-ДИФФЕРЕНЦИАЛЬНОЙ МОДЕЛИ ЗАРЯДКИ ПОЛЯРНЫХ ДИЭЛЕКТРИКОВ

ЛИ Мороз - Вычислительные технологии и прикладная …, 2023 - elibrary.ru
Работа посвящена построению и программной реализации вычислительного
алгоритма для обыкновенного дробного по времени дифференциального уравнения …