LOS ANGELES — For decades many African-Americans have voiced conflicted feelings about Disney.

Many fault this entertainment colossus for being slow to introduce a black princess as a peer to Cinderella and Snow White. (There is one now: Tiana, from “The Princess and the Frog.”) The racial stereotyping in early animated movies like “Dumbo” lives on through DVD rereleases. African-Americans can also bring up “Song of the South,” a 1946 film that Disney has labored to keep hidden because of its idyllic depiction of slavery.

Disney has worked overtime in recent years to leave that past behind, and a surprising groundswell of support from black viewers for a new TV cartoon called “Doc McStuffins” is the latest indication that its efforts may be paying off.

Aimed at preschoolers, “Doc McStuffins” centers on its title character, a 6-year-old African-American girl. Her mother is a doctor (Dad stays home and tends the garden), and the girl emulates her by opening a clinic for dolls and stuffed animals. “I haven’t lost a toy yet,” she says sweetly to a sick dinosaur in one episode.

The series, which made its debut in March on the Disney Channel and a new cable network called Disney Junior, is a ratings hit, attracting an average of 918,000 children age 2 to 5, according to Nielsen data. But “Doc McStuffins” also seems to have struck a cultural nerve, generating loud applause on parent blogs, Facebook and even in academia for its positive vocational message for African-American girls.