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Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels.

Authors :
Odibat, Zaid
Baleanu, Dumitru
Source :
Applied Numerical Mathematics. Jul2024, Vol. 201, p550-560. 11p.
Publication Year :
2024

Abstract

This study is concerned with finding numerical solutions of nonlinear delay differential equations involving extended Mittag-Leffler fractional derivatives of the Caputo-type. The main benefit of the used extension is to address the complexity resulting from the limitations of using fractional derivatives with non-singular Mittag-Leffler kernels. We discussed the existence and uniqueness of solutions for the studied delay models. Next, we modified an Adams-type method to numerically solve fractional delay differential equations combined with Mittag-Leffler kernels. A new type of solution belonging to the L 1 space is presented for the studied models using the proposed scheme. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01689274
Volume :
201
Database :
Academic Search Index
Journal :
Applied Numerical Mathematics
Publication Type :
Academic Journal
Accession number :
176991881
Full Text :
https://doi.org/10.1016/j.apnum.2024.04.006