A Simple Fractional Model with Unusual Dynamics in the Derivative Order
Abstrak
Fractional variable order systems with unusual dynamics in the order are a little-studied topic. In this study, we present three examples of very simple fractional systems with unusual dynamics in the derivative order. These cases involve different approaches to define the variable-order dynamics: (1) an integer-order differential equation that includes the state variable, (2) a differential equation that incorporates the state variable and features both integer- and fractional-order derivatives, and (3) fractional variable-order differential equations nested in the derivative orders. We prove a result that shows how the extended recursion of the last case is generalized. These examples illustrate the richness that simple dynamical systems can reveal through the order of their derivatives.
Topik & Kata Kunci
Penulis (5)
Guillermo Fernández-Anaya
Francisco A. Godínez
Rogelio Valdés
Luis Alberto Quezada-Téllez
M. A. Polo-Labarrios
Akses Cepat
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- 2025
- Sumber Database
- DOAJ
- DOI
- 10.3390/fractalfract9040264
- Akses
- Open Access ✓