New Delhi, India (CNN) Pakistan says its air force shot down two Indian fighter jets over the disputed border region of Kashmir, in a significant escalation of the crisis between the two nuclear-armed powers.

India confirmed the loss of one plane and said it shot down a Pakistansi jet as it responded to the incident. Pakistan claimed to have captured an Indian pilot and, to India's fury, published a video of him. India demanded his safe return.

The confrontation came a day after India said it launched airstrikes in Pakistan territory in the first such incursion by Indian air force planes since the India-Pakistan war of 1971.

India and Pakistan both control parts of Kashmir, but each claims the region in full. The latest skirmishes are the most serious crisis over the disputed border area in years.

Pakistan's Prime Minister, Imran Khan, said neither side could afford "miscalculations" and that any further escalation would be beyond his and Indian Prime Minister Narendra Modi's control.

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