Integrating ride-sourcing with electric vehicle charging under mixed fleets and differentiated services

•Propose a novel nested two-sided market model with integrated ride-sourcing and electric vehicle (EV) charging services.•Consider differentiated charging pricing and priority of ride-sourcing and private EV drivers.•Reveal mathematical properties of EV drivers' charging behavior, passengers' mode choices, and platform's decisions.•Derive optimal states of profit maximization, social optimum, and Pareto optimality.•Analyze potential impact of introducing integrated services with two strategies.•Gain managerial insights into platform operations and government regulation.