The Messenger of Allah (peace and blessings be upon him) gave a verdict regarding them that: "The inheritance will be according to Islamic principles."
Hadith Referenceسنن سعید بن منصور / كتاب ولاية العصبة / 1374
Hadith Gradingمحدثین:إسناده ضعيف جدا
Hadith Takhrij«إسناده ضعيف جدا، «انفرد به المصنف من هذا الطريق»»
Brief Explanation
Isma'il ibn 'Ayyash here is narrating from a non-Shami (Abd al-Aziz) → weak, Abd al-Aziz ibn 'Ubayd Allah → weak, Zaidah ibn 'Abd al-Rahman → unknown (majhool), Conclusion: The narration is extremely weak in its chain.