Narrated Ayesha(mother of the believers),‘After the death of Allah’s Apostle Fatima,the daughter of Allah’s Apostle asked Abu Bakr As-Siddiq to give her the share of inheritance from what Allah’s Apostle had left of the Fai (i.e. booty gained without fighting)which Allah had given him. Abu Bakr said to her, “the Holy Prophet (saww) had said, 'Our property will not be inherited, whatever we (i.e. prophets) leave is Sadaqah (to be used for charity).” Fatima, the daughter of Allah’s Apostle got angry and stopped speaking to Abu Bakr, and continued assuming that attitude till she died. Fatima remained alive for six months after the death of the Holy prophet (saww).
Sahih Bukhari Volume 4, Book 53, Number 325: