Air travel across India has been in turmoil this week after IndiGo cancelled thousands of flights, prompting the government to announce special relief for the carrier and operate some trains to help clear the backlog.

India's aviation ministry capped airfares on Saturday as flight cancellations by the country’s largest carrier IndiGo left customers scrambling to make other arrangements.

“They have lost our luggage. We are here for four hours just trying to get it. Our Ahmedabad to Pune flight (6E522) was two days ago. It’s so frustrating even they don’t know where our baggage is,” sa...