Work

Existence and Stability of solution to a fractional mathematical model of the brain metabolite variations in the circadian rhythm containing Caputo derivative

Year: 2025

Type: article

Abstract: This study intends to investigate whether a solution to the model of brain metabolite variations in the circadian rhythm exists. The model is a fractional-order important model with regard to applications. The existence of a unique solution to the fractional brain model (FBM) with Caputo derivative is demonstrated, and the general form of the model is provided. A stability analysis is performed on the solution. In four different cases, the numerical solution to FBM is given using the proposed numerical method.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.039.03.04

Authors: E. A. A. Ziada, S. El-Morsy

Institution: Qassim University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Qassim University

Award: G92618698