  In this paper, Newton's law of cooling is considered from a different
perspective with newly defined fractional conformable. Obtained results are
compared with experimental results and found optimal fractional orders which
fit better with real data. Results show that Newton's law of cooling with
fractional conformable derivative gives better results to integer order
derivative. Results are given comparatively to Newton's law of cooling with
integer order and experimental data and also, fractional conformable
derivative's advantages are supported by numerical illustrations and error
analysis.
