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We consider anomalous diffusion for molecular communication with a passivereceiver. We first consider the probability density function of molecules'location at a given time in a space of arbitrary dimension. The expected numberof observed molecules inside a receptor space of the receiver at certain timeis derived taking into account the life expectancy of the molecules. Inaddition, an implicit solution for the time that maximizes the expected numberof observed molecules is obtained in terms of Fox's H-function. The closed-formexpressions for the bit error rate of a single-bit interval transmission and amulti-bit interval transmission are derived. It is shown that lifetime limitedmolecules can reduce the inter-symbol interference while also enhancing thereliability of MC systems at a suitable observation time.

Molecular Communication with Passive Receivers in Anomalous Diffusion Channels