Variable-order fractal-fractional time delay equations with power, exponential and Mittag-Leffler laws and their numerical solutions

Autor:	J.E. Solís-Pérez, José Francisco Gómez-Aguilar
Rok vydání:	2020
Předmět:	Numerical analysis General Engineering Power law Computer Science Applications Exponential function Fractal Modeling and Simulation Attractor Applied mathematics Exponential decay Software Variable (mathematics) Interpolation Mathematics
Zdroj:	Engineering with Computers. 38:555-577
ISSN:	1435-5663 0177-0667
Popis:	In this paper, a numerical method based on the Lagrangian piece-wise interpolation is proposed to solve variable-order fractal-fractional time delay equations with power law, exponential decay and Mittag-Leffler memories. These operators permit to describe physical phenomena with variable memory and fractal variable dimension. Numerical methods were applied to simulate the variable-order time delay Mackey–Glass and synaptically coupled FitzHugh–Nagumo models. Our numerical simulations display several new attractors.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6ccc07eab8d7f20e2224664223973f26 https://doi.org/10.1007/s00366-020-01065-0 Zobrazit plný text záznamu Full text from SpringerLink