A heating system for an inhaler device, such as an e-cigarette or a personal vaporizer, for generating an aerosol and/or a vapor from a substance to be heated includes at least one supply channel for conveying a substance to be heated, especially a liquid solution or a gel, from a supply reservoir by or under capillary action or surface tension forces, and a heater configured to heat the substance as it is conveyed through the at least one channel.