Who became the ruler of Rome after Julius Caesar died?

Was it caesar augustus or octavian

Yes. Those are two names for the same man.

http://www.history.com/topics/ancient-history/emperor-augustus

Augustus, Julius Casear's Grandnewphew

After Julius Caesar's assassination in 44 BCE, his grandnephew and adopted heir, Octavian, later known as Augustus, became the ruler of Rome.

To find this answer, you can search for "successor of Julius Caesar" or "ruler of Rome after Caesar's death" on search engines such as Google. This will lead you to various sources and historical records that provide the information about Octavian's ascension to power. Additionally, you can consult history books, articles, or encyclopedias that cover the period of ancient Roman history.