Wyniki wyszukiwania - Biblioteka Nauki

Ten serwis zostanie wyłączony 2025-02-11.

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: fractional order state equation

Sortuj według:

Ogranicz wyniki do:

Fractional order, state space model of the temperature field in the pcb plate

100%

Oprzędkiewicz K. , Mitkowski W. , Rosół M.

2023

tom Vol. 17, no. 2

180--187

In the paper the fractional order, state space model of a temperature field in a two-dimensional metallic surface is addressed. The proposed model is the two dimensional generalization of the one dimensional, fractional order, state space of model of the heat transfer process. It uses fractional derivatives along time and length. The proposed model assures better accuracy with lower order than models using integer order derivatives. Elementary properties of the proposed model are analysed. Theoretical results are experimentally verifed using data from industrial thermal camera.

Non integer order, state space model of heat transfer process using Caputo-Fabrizio operator

72%

Oprzędkiewicz K.

nr 3

Non integer order, state space model of heat transfer process using Atangana-Baleanu operator

72%

Oprzędkiewicz K.

Fractional order, discrete model of heat transfer process using time and spatial Grünwald-Letnikov operator

58%

Oprzędkiewicz K.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2021

tom Vol. 69, nr 1

art. no. e135843

In the paper a new, state space, fully discrete, fractional model of a heat transfer process in one dimensional body is addressed. The proposed model derives directly from fractional heat transfer equation. It employes the discrete Grünwald-Letnikov operator to express the fractional order differences along both coordinates: time and space. The practical stability and numerical complexity of the model are analysed. Theoretical results are verified using experimental data.