Analysis of nonlinear ordinary differential equations with the generalized Mittag-Leffler kernel.
Math Biosci Eng
; 20(11): 19763-19780, 2023 Oct 30.
Article
in En
| MEDLINE
| ID: mdl-38052623
ABSTRACT
The Picard iterative approach used in the paper to derive conditions under which nonlinear ordinary differential equations based on the derivative with the Mittag-Leffler kernel admit a unique solution. Using a simple Euler approximation and Heun's approach, we solved this nonlinear equation numerically. Some examples of a nonlinear linear differential equation were considered to present the existence and uniqueness of their solutions as well as their numerical solutions. A chaotic model was also considered to show the extension of this in the case of nonlinear systems.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
Math Biosci Eng
Year:
2023
Document type:
Article
Affiliation country:
Sudáfrica