The Caputo vs. Caputo-Fabrizio operators in modeling of heat transfer process

• Autorzy: Oprzędkiewicz K. , Mitkowski W. , Gawin E. , Dziedzic K.

Identyfikatory

DOI

10.24425/124267

• Języki publikacji: EN

Abstrakty

EN

In the paper two non-integer order, state space models of heat transfer process are compared. The first uses a known Caputo operator and the second – a new operator proposed by Caputo and Fabrizio in 2015. Both discussed models are modifications of a known, integer order, state space, semigroup model of heat transfer process. Parameters of both models were identified by means of optimization of MSE cost function with the use of simplex method, available in MATLAB. Both proposed models have been compared in the aspect of accuracy and convergence. Analytical and numerical results show that the Caputo-Fabrizio model is faster convergent and easier to implement than the Caputo model. However, its accuracy in the sense of MSE cost function is worse.

Słowa kluczowe

EN

fractional order systems; Caputo operator; Caputo-Fabrizio operator; non singular kernel operator; heat transfer; simplex method

PL

transfer ciepła; metoda simplex; system ułamkowy; pochodna Caputo

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2018
• Tom: Vol. 66, nr 4
• Strony: 501--507
• Opis fizyczny: Bibliogr. 25 poz., rys., wykr., tab.

Twórcy

autor

Oprzędkiewicz K.

• AGH University, 30 Mickiewicza Ave., 30-059 Krakow, Poland

autor

Mitkowski W.

• AGH University, 30 Mickiewicza Ave., 30-059 Krakow, Poland

autor

Gawin E.

• HVS in Tarnow, 8 Mickiewicza St., 33-100 Tarnow, Poland

autor

Dziedzic K.

• AGH University, 30 Mickiewicza Ave., 30-059 Krakow, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).