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 …

[HTML][HTML] Numerical solutions of the multi-space fractional-order coupled Korteweg–de Vries equation with several different kernels

KM Saad, HM Srivastava - Fractal and fractional, 2023 - mdpi.com
In this article, the authors propose to investigate the numerical solutions of several fractional-
order models of the multi-space coupled Korteweg–De Vries equation involving many …

[HTML][HTML] Hyperbolic non-polynomial spline approach for time-fractional coupled KdV equations: A computational investigation

M Vivas-Cortez, MA Yousif, PO Mohammed, AA Lupas… - Symmetry, 2024 - mdpi.com
The time-fractional coupled Korteweg–De Vries equations (TFCKdVEs) serve as a vital
framework for modeling diverse real-world phenomena, encompassing wave propagation …

Non-standard finite difference and vieta-lucas orthogonal polynomials for the multi-space fractional-order coupled korteweg-de vries equation

KM Saad, R Srivastava - Symmetry, 2024 - mdpi.com
This paper focuses on examining numerical solutions for fractional-order models within the
context of the coupled multi-space Korteweg-de Vries problem (CMSKDV). Different types of …