The phrase "a different problem than" is correct and usable in written English.
It can be used when comparing two problems and indicating that one is not the same as the other.
Example: "This issue is a different problem than the one we discussed last week."
Alternatives: "a different problem from" or "a separate issue than".
If you look at what has to be done, in some societies, it is a different problem than in others.
What's interesting about that example is that the idea with a mirror is actually a solution to a different problem than the one you first proposed.
So this is quite a different problem than the high-profile issue of the refugee camp in the north of Jordan, which is getting a lot of attention.
Mr. Lyons said in an e-mail on Wednesday that the service campaign dealt with a different problem than the new recall.
Brady with 9 sec is a different problem than Brady with 19 sec, so the question is – is this a strategy that coaches use?
While many of those patients come back to the hospital with a different problem than the one they were originally admitted for, it has been shown that most of these re-admissions can be avoided with careful planning and coordination when the patient is discharged from the hospital the first time.
Supporting speech is a different problem altogether than what they've solved so far and they'll have to do a lot more work until it's available on any major mobile platform.
Gang members shooting each other in turf fights are a distinctly different problem than mentally ill people who shoot up an elementary school.
This presents a different problem for the Fed than just delaying the taper by a meeting or two, this may require an entire recalibration of its analysis on reducing QE3.
Because of its rich, real-time reporting capabilities, SalesVu is trying to solve a slightly different problem than Square or even Intuit's GoPayment.
This is a very different problem than we face with al Qaeda or the so-called Islamic State.
