The present disclosure relates to an aerosol delivery device, comprising: an outer body; an electrical power source; a pocket defined by or engaged with the outer body to receive a substrate including an aerosol precursor composition; an induction receiver surrounding but out of direct contact with the substrate when received by the pocket; and a wireless power transmitter including an induction transmitter surrounding but out of direct contact with the induction receiver, the induction transmitter configured to receive electrical current from the electrical power source that causes the induction transmitter to generate an oscillating magnetic field, and the induction receiver configured to generate heat via eddy currents induced at the induction receiver when exposed to the oscillating magnetic field and thereby heat the aerosol precursor composition to produce an aerosol. Related methods are also provided.