The entire scheme is likely to cost £31 million, and West Yorkshire Combined Authority is hoping the Department for Transport will fund the bulk of the scheme.
Recently the Combined Authority's Investment Committee will be asked to invest £2.1 million to help develop the scheme.
A major part of the scheme is "mobility as a service" and a spokesman for the authority said this: "enables people to plan their journey by accessing a range of transport options, including public transport, cycling, car-sharing, taxi or use of a car club vehicle, in one place.
"This is usually through an app on their smart phone or a website, which also shows them the best value option for their journey and pay for all their journeys through a single channel."
Twelve-month trials of digital demand-responsive buses, which will be in addition to existing services, are planned in several areas, including east Leeds, Wakefield, and York.
Most passengers will use a special app to book and pay for their journeys using digital demand-responsive bus services although telephone bookings will also be available for people who do not have a smartphone. Customers will receive a confirmation of their journey through the app and the time and nearby location where a minibus will pick-up them up, along with details of where it will drop them. The services will be cashless.
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