The effort to find solutions to new issues according to the Quran and Sunnah is known as:

Ijtihad means exerting intellectual effort to derive rulings on new matters not explicitly covered in the Quran or Sunnah. It involves deep reasoning by qualified scholars to keep Islamic law relevant. Grammatically it is a noun referring to this process. Alternatives like Fatwa a legal opinion are related but not exactly the same as Ijtihad.