Mathematical analysis of neurological disorder under fractional order derivative.

Autor: Khan, Nadeem, Ali, Amjad, Ullah, Aman, Khan, Zareen A.
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Zdroj: AIMS Mathematics; 2023, Vol. 8 Issue 8, p1-20, 20p
Abstrakt: Multiple sclerosis (MS) is a common neurological disorder that affects the central nervous system (CNS) and can cause lesions that spread over space and time. Our study proposes a mathematical model that illustrates the progression of the disease and its likelihood of recurrence. We use Caputo fractional-order (FO) derivative operators to represent non-negative solutions and to establish a steady-state point and basic reproductive number. We also employ functional analysis to prove the existence of unique solutions and use the Ulam-Hyres (UH) notion to demonstrate the stability of the solution for the proposed model. Furthermore, we conduct numerical simulations using an Euler-type numerical technique to validate our theoretical results. Our findings are presented through graphs that depict various behaviors of the model for different parameter values. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index