Molecular Communication in Fractional Diffusive Channel

The molecular communication system with anomalous/fractional diffusion inside a one-dimensional (1-D) environment is considered. The time-dependent diffusivity is incorporated in terms of the power-law diffusivity, and the expression of first passage time density (FPTD) is derived. Further, the peak pulse time and peak concentration corresponding to the derived FPTD function are obtained. Moreover, the analysis is extended in terms of the average probability of error and throughput for the anomalous diffusion channel. The analytical results are validated through simulations.