In the paper the new, fractional order, state space model of a heat transfer in a one- 1
dimensional metallic rod is addressed. The fractional orders of derivative along space and time 2
are not exactly known and they are described by intervals. The proposed model is the interval 3
expanding of the state space fractional model of the one dimensional heat transfer. It is expected to 4
better describe the reality because interval order of each real process is hard to estimate. Elementary 5
properties of the proposed model are analysed. Theoretical results are experimentally validated using 6
data from real experimental laboratory system.