I am developing an e-commerce mobiloe application using magento 2 rest apis only.This is the flow for making the REST API calls for order placement.
Paypal Express payment method doesn't support online capturing. There is no way to get a full order creation flow like on Checkout via Magento API interface. It is impossible to change the order state and process payments. As a workaround try the following:
I am writting a complete atrticle regarding this step by step. I will let you know when it is done.