Ash-Shama'il Al-Muhammadiyah, Book 55, Hadith 400 (In-Book)

Abu Hurayrah Radiyallahu 'Anhu reports that Faatimah (Radiyallahu 'Anha) came to Abubakr (Siddique Radiyallahu 'Anhu) and asked him who his heirs were. He replied: ''My wife and children''. (Faatimah Radiyallahu 'Anha asked:) ''Then why did I not become heir to my fathers estate?'' Abubakr (Siddique Radiyallahu 'Anhu) Said: "I heard the command of Rasulullah Sallallhu 'Alayhi Wasallam, that we do not leave any heirs. But (I being a guardian of the waqf) for those whom Rasulullah Sallallahu 'Alayhi Wasallam had decreed a daily allowance, I will continue to grant it. And on whom Rasulullah Sallallahu 'Alayhi Wasallam used to spend. I will continue to spend".

حَدَّثَنَا مُحَمَّدُ بْنُ الْمُثَنَّى، قَالَ‏:‏ حَدَّثَنَا أَبُو الْوَلِيدِ، قَالَ‏:‏ حَدَّثَنَا حَمَّادُ بْنُ سَلَمَةَ، عَنْ مُحَمَّدِ بْنِ عَمْرٍو، عَنْ أَبِي سَلَمَةَ، عَنْ أَبِي هُرَيْرَةَ، قَالَ‏:‏ جَاءَتْ فَاطِمَةُ إِلَى أَبِي بَكْرٍ، فَقَالَتْ‏:‏ مَنْ يَرِثُكَ‏؟‏ فَقَالَ‏:‏ أَهْلِي وَوَلَدِي، فَقَالَتْ‏:‏ مَا لِي لا أَرِثُ أَبِي‏؟‏ فَقَالَ أَبُو بَكْرٍ‏:‏ سَمِعْتُ رَسُولَ اللهِ صلى الله عليه وسلم، يَقُولُ‏:‏ لا نُورَثُ، وَلَكِنِّي أَعُولُ مَنْ كَانَ رَسُولُ اللهِ صلى الله عليه وسلم، يَعُولُهُ، وَأُنْفِقُ عَلَى مَنْ كَانَ رَسُولُ اللهِ صلى الله عليه وسلم يُنْفِقُ عَلَيْهِ‏.‏

also referenced under: Book 54, Hadith 383 (English)