Is docket no and case no same?

Perhaps, depending on the court system, but not necessarily.

The Case # is the number assigned based on the numerical order in which it enters the court system.

A docket is a judges workload and it MAY be classified with a different number depending on the administrative record-keeping of that individual court.

Additional Info:

From my experience, the distinct number which identifies a civil action begun in court is called an "index number," but it is referred to interchangeably as a "case number," "CIV number" or a "docket number." The number is composed of the two digit year when the action was commenced, plus a sequential number to identify the case. In civil matters, the letters "CV" or "Civ." are often inserted into the number. The order of the elements depends on the specific court you are speaking about.