While a physical wallet that we keep in our pocket or our handbag can contain paper money or parts, with regard to cryptocurrencies, the currency is never held by the owner but remains rather on the blockchain and can never leave the blockchain to go elsewhere. However, your proof of ownership of this digital currency is maintained on a digital portfolio.
Each digital portfolio will also have a public identifier that will appear when you transform using a cryptocurrency. No visible recording of who made what transaction with whom, only the identifier of a digital portfolio. Thus, cryptocurrencies are not really anonymous, but rather pseudonyms.
Digital wallets can be mobile, web -based, desktop, IT, stored on a secure physical device, or even physically stored.