omg look at how cute this is aaaaaa
Okay, so this got me curious and I looked up more info on it. The title is "You Are Umasou" when directly translated.
According to wikipedia, it's a popular picture book series that became popular enough for a 20 episode anime series in 2010 and roughly 3 movies-the latest movie having been released early this year. They can be found on kissanime, but all under different titles/English translations of the titles. Just type in "Umasou" and you'll find them all eventually. XD
Now I'm not sure about he movies, but the overall story line has to do with a T-rex who was raised by herbivores and is scared of other dinosaurs (remember, this is for little kids.) until he stumbles upon a teeny lil' herbivore baby dinosaur. He ends up getting stuck with him and grows attached to him and they become a family.