How can I use Bash syntax in Makefile targets?

I often find Bash syntax very helpful, e.g. process substitution like in diff <(sort file1) <(sort file2).

Is it possible to use such Bash commands in a Makefile? I’m thinking of something like this:

file-differences:
    diff <(sort file1) <(sort file2) > $@

In my GNU Make 3.80 this will give an error since it uses the shell instead of bash to execute the commands.