In a filing in probate court in Prince’s home state of Minnesota, Nelson said she did not know of the existence of a will and had no reason to believe that Prince had left one.
On Nelson’s request, the court appointed a special administrator to handle the dispensation of Prince’s estate.
Prince died Thursday at age 57, without obvious heirs.
His two marriages ended in divorce, his parents were deceased, and his only child with first wife Mayte Garcia died of a rare genetic condition just days after birth in 1996.
Without a will, and with no spouse, parents or children, Minnesota law stipulates that his fortune will go to his living siblings and their children, according to reports.
Prince had one full sister, Nelson, as well as six half-siblings, five of whom are still living, according to the court filing. Minnesota law makes no distinction between the two for purposes of inheritance.
Staff at Prince’s Paisley Park home and studio complex outside of Minneapolis found the musician collapsed in an elevator Thursday morning. An investigation into his death is ongoing.
Results from an autopsy to determine the cause of death could to take weeks, investigators said.