Figure 1, presents the 3D solutions of (14) and (15) for the integer case
. In Figs. 2 and 3, we study the effect of the conformable-derivative acting on the propagation of
and
. It can be observed that for
, the solutions are mapping continuously to each other with the same physical shape. However, for
, we report a chaotic behaviors of the solutions where we can tell nothing
[34]. Based on these observations, we may say that the fractional derivative can be considered as a memory index in a way that after a specific value, correct heritage-information can be retrieved regarding the physical structures of the given model.