@ARTICLE{Oprzędkiewicz_Krzysztof_Fractional_2021, author={Oprzędkiewicz, Krzysztof}, volume={69}, number={No. 1}, journal={Bulletin of the Polish Academy of Sciences Technical Sciences}, pages={e135843}, howpublished={online}, year={2021}, abstract={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.}, type={Article}, title={Fractional order, discrete model of heat transfer process using time and spatial Grünwald-Letnikov operator}, URL={http://www.czasopisma.pan.pl/Content/118765/PDF/24_01861_Bpast.No.69(1)_01.03.21_K1_G.pdf}, doi={10.24425/bpasts.2021.135843}, keywords={fractional order systems, heat transfer equation, fractional order state equation, Fractional Order Backward Difference, Grünwald-Letnikov operator, practical stability}, }