Piecewise derivatives versus short memory concept: analysis and application

[ X ]

Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Amer Inst Mathematical Sciences-Aims

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We have provided a detailed analysis to show the fundamental difference between the concept of short memory and piecewise differential and integral operators. While the concept of short memory leads to different long tails in different intervals of time or space as a result of a power law with different fractional orders, the concept of piecewise helps to depict crossover behaviors of different patterns. We presented some examples with different numerical simulations. In some cases piecewise models led to transitional behavior from deterministic to stochastic, this is indeed the reason why this concept was introduced.

Açıklama

Anahtar Kelimeler

Piecewise Calculus, Short Memory Concept, crossover behaviors, chaos, epidemiology

Kaynak

Mathematical Biosciences and Engineering

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

19

Sayı

8

Künye