The phrase "a different type of problem" is correct and usable in written English.
You can use it when discussing various categories or classifications of issues or challenges that differ from one another.
Example: "While we initially thought it was a simple error, it turned out to be a different type of problem altogether."
Alternatives: "another kind of issue" or "a distinct category of problem."
"We've seen something new, a different type of problem.
India and Nepal have a different type of problem because of the open-border policy.
"Depression because of, for example, the loss of a child" is a different type of problem, said Jorend Sjoeberg, a nurse who fears that if the depression is job-related, similar pressures could lead to a relapse.
Mr. Obama's margins have been narrower in Nevada, but Mr. Romney has a different type of problem there: perhaps 70 percent of the state has already voted, and Democrats have locked in roughly a 7-point advantage over Republicans from the vote so far.
To prove our main result, we first establish the following three lemmas obtained by applying the idea of Liu and Wang in [13], where a different type of problem was discussed.
San Francisco is focusing on a different type of problem building — wooden apartment buildings with weak first stories.
Each definition has its own advantages and is appropriate for applications to a different type of problems.
After the Soviet Union's implosion, the large numbers of Cuban boat people heading for Florida, seeking economic safe haven, posed a different type of humanitarian problem.
But if you have a different type of legal problem -- if you have a case in civil court -- then in most places you don't have the right to a lawyer, no matter how serious your predicament.
The 1990s have seen a different type of debt problem, which also has its roots in the 1980s - that of low-income countries' debts mainly to developed country governments and multilateral creditors.
As should be obvious, the recursive nature of adaptive quadrature makes it an inherently different type of problem than GNBP.
