Work

Existence, stability, and numerical simulation of a nonlinear brain tumor model

Year: 2025

Type: article

Abstract: This research introduces a novel mathematical model for brain tumor growth incorporating a fractal fractional derivative. We investigate the existence and uniqueness of solutions for this model, as well as its stability properties, using a novel contraction known as the generalized $\alpha -\psi $ -Geraghty-type contraction. Our stability analysis is based on the Ulam–Hyers framework. The findings presented in this study constitute a significant contribution to the field.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03276-9

Authors: Hojjat Afshari, Sabileh Kalantari, Mehrdad Anvari, H. R. Marasi

Institutions: University of Bonab, University of Tabriz

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

Funder: University of Bonab