OneDrive for Business, not to be confused with OneDrive, is the business version of OneDrive that is connected to or purchased via Office 365. It is the replacement for Microsoft's SharePoint Workspace. It was released in the first version of Office 365 and has continued to evolve like the rest of Office 365.
Like OneDrive, OneDrive for Business is a file-hosting and sync service created by and hosted by Microsoft. Both have a sync app that allows you to sync your documents to your computers and a mobile app for accessing your files on your mobile device. Unlike OneDrive, OneDrive for Business can only be accessed online via the Office 365 portal. OneDrive is accessed via the consumer portal of https://www.msn.com/en-in/, https://outlook.live.com/owa/, https://outlook.live.com/owa/, and so on. Both were formally named SkyDrive...