In the paper a new, state space, non integer order model of an one-dimensional heat transfer process is proposed. The model uses a new operator with Mittag-Leffler kernel, proposed by Atangana and Beleanu. The non integer order spatial derivative is expressed by Riesz operator. Analytical formula of the step response is given, the convergence of the model is discussed too. Theoretical results are verified by experiments.

JO - Bulletin of the Polish Academy of Sciences: Technical Sciences L1 - http://sd.czasopisma.pan.pl/Content/115155/PDF/03_43-50_01231_Bpast.No.68-1_28.02.20_K_OK_TeX.pdf L2 - http://sd.czasopisma.pan.pl/Content/115155 PY - 2020 IS - No. 1 February EP - 50 KW - non integer order systems KW - heat transfer equation KW - infinite dimensional systems KW - fractional order state equation KW - Riesz operator KW - Caputo operator KW - Atangana-Baleanu operator A1 - OprzÄ™dkiewicz, K. VL - 68 JF - Bulletin of the Polish Academy of Sciences: Technical Sciences DA - 29.02.2020 T1 - Non integer order, state space model of heat transfer process using Atangana-Baleanu operator SP - 43 UR - http://sd.czasopisma.pan.pl/dlibra/docmetadata?id=115155 DOI - 10.24425/bpasts.2020.131828 ER -