The phrase "a different approach on" is not correct in standard written English.
The correct preposition to use is "to" instead of "on."
Example: "We need to consider a different approach to solving this problem."
Alternatives: "a different method for" or "an alternative strategy for".
"It is well known that Europe and Israel have a different approach on settlements," said one Israeli official, speaking on the condition of anonymity.
— A rested Hillary Clinton returned to the campaign trail here on Thursday after three days of recovering at home from pneumonia, and vowed a different approach on the final stretch of the campaign, one more focused on her own positive vision for the country, rather than eviscerating her rival.
We use a different approach on LinkedIn.
We then looked at countries that are taking a different approach on the war on drugs.
Krell opted for a different approach on his fourth album, "Care," which came out last week, and represents his first full-length stab at optimism.
The Lib Dems agree with the Tories on the need to devolve income tax-setting powers to Holyrood but they take a different approach on English laws.
Instead, Adler argues that conservatives should favor a different approach, one based on property rights.
A different approach based on the spectral difference of the LFP (local field potential) signal has been recently proposed to distinguish between up and down states [34].
In this paper, we follow a different approach, focusing on the commonalities among all cancers rather than on their particularities.
Many gay activists pursued a different approach, focusing on issues pertinent to their local communities.
That's why we need a different approach founded on three principles.
