The tweet was shared more than 200 times as people joined the search and contacted police and railway officials through Twitter.
Mr Shukla had spotted the children beneath a ticket office window but when police got to the spot they had disappeared.
When they were eventually found on platform one, they were "sobbing uncontrollably" and too scared and confused to tell officers how they got to the station, NDTV reported.
After taking them to safety and giving them food, police learned that the children's father had taken them from their mother's home earlier in the evening and left them on the platform, allegedly telling them: "Stay here till your mother finds you."
The siblings guided officers to their home in the Nabi Karim district, where their mother had been asleep.
Sanjay Bhatia, deputy commissioner of India's railway police, told The Indian Express: "The eldest of the three, Rumana, told us that their house was somewhere near Nabi Karim police station.
"Policemen took the children to that area and walked around until they identified their house. They were reunited with their mother."
The woman, identified as 37-year-old Tabussum, said she could not find the children when she came home from work and fell asleep. She claimed she was used to them not being there as her estranged husband allegedly regularly takes them away and drops them back without informing her.
Four of their older children live with him in the city of Kanpur, NDTV reported, but she had fled their home to escape domestic violence.
Madhur Verma, the Deputy Commissioner of Police for Delhi's northern district, said the children were handed back to their mother and were "happy" and safe.
Police took a statement and the investigation into the children's abandonment continues.
Estimates of the number of orphaned and abandoned children in India range up to 12 million, many of whom live on the streets after losing their parents to conflict, poverty, disability or disease.
- Independent
