The 21-year-old Bell comes into the squad in place of the 37-year-old Katherine Brunt, who has been rested from the series. Brunt is England's leading T20 wicket-taker.
England captain Heather Knight is also missing from the squad as she continues her recovery from last month's hip surgery. Nat Sciver will once again lead the side.
England Women head coach Lisa Keightley, who will be taking charge of her last series before returning home to Australia, said: "I'm excited about finishing my time with this team with a really exciting series against India.
They're a great side and we'll have to be at our best to win. "After discussions with Katherine she felt the best thing for her was to rest across both the T20 and ODI series.
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