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