  A one-dimensional (1-D) anomalous-diffusive molecular communication channel
is considered, wherein the devices (transmitter (TX) and receiver (RX)) can
move in either direction along the axis. For modeling the anomalous diffusion
of information carrying molecules (ICM) as well as that of the TX and RX, the
concept of time-scaled Brownian motion is explored. In this context, a novel
closed-form expression for the first hitting time density (FHTD) is derived.
Further, the derived FHTD is validated through particle-based simulation. For
the transmission of binary information, the timing modulation is exploited.
Furthermore, the channel is assumed as a binary erasure channel (BEC) and
analyzed in terms of achievable information rate (AIR).
