How should I deal with my family members who do not observe the prayer at its prescribed time or do not pray at all, and is it obligatory for me to invite them and wake them up for Fajr prayer?

Among the greatest blessings of Allah upon a servant is His granting them success in obeying Him. And whoever has been granted such success should be merciful to those who were in their previous state and wish good for them, recalling the words of Allah Almighty: ("Thus were you before, then Allah conferred His favor upon you"). And the people most deserving of advice are relatives and neighbors. Therefore, one must explain to them the importance of prayer and that it ("is, on the believers, a book (decree) to be observed at appointed times"), and that whoever is obligated to pray in the mosque sins if they pray at home without a valid excuse. One must not despair of advising them and inviting them to Allah whenever something displeasing to Allah is observed from them, for perhaps they will respond after a while. The reward from Allah is certain for the one who calls, whether the one being called responds or not, and that among the greatest acts of righteousness is for a servant to be tested with relatives who are neglectful of Allah's rights, so that he may be a cause for their obedience.