Narrated Aisha (RA) :
Fatima the daughter of the Prophet ﷺ sent someone to Abu Bakr (RA) (when he was a caliph), asking for her inheritance of what Allahs Apostle ﷺ had left of the property bestowed on him by Allah from the Fai (i.e. booty gained without fighting) in Medina, and Fadak, and what remained of the Khumus of the Khaibar booty. On that, Abu Bakr (RA) said, "Allahs Apostle ﷺ said, "Our property is not inherited. Whatever we leave, is Sadaqa, but the family of (the Prophet) Muhammad can eat of this property. By Allah, I will not make any change in the state of the Sadaqa of Allahs Apostle ﷺ and will leave it as it was during the lifetime of Allahs Apostle, and will dispose of it as Allahs Apostle ﷺ used to do." So Abu Bakr (RA) refused to give anything of that to Fatima. So she became angry with Abu Bakr (RA) and kept away from him, and did not task to him till she died. She remained alive for six months after the death of the Prophet. When she died, her husband Ali, buried her at night without informing Abu Bakr (RA) and he said the funeral prayer by himself. When Fatima was alive, the people used to respect Ali much, but after her death, Ali noticed a change in the peoples attitude towards him. So Ali sought reconciliation with Abu Bakr (RA) and gave him an oath of allegiance. Ali had not given the oath of allegiance during those months (i.e. the period between the Prophets death and Fatimas death). Ali sent someone to Abu Bakr (RA) saying, "Come to us, but let nobody come with you," as he disliked that Umar should come, Umar said (to Abu Bakr), "No, by Allah, you shall not enter upon them alone " Abu Bakr (RA) said, "What do you think they will do to me? By Allah, I will go to them So Abu Bakr (RA) entered upon them, and then Ali uttered Tashah-hud and said (to Abu Bakr), "We know well your superiority and what Allah has given you, and we are not jealous of the good what Allah has bestowed upon you, but you did not consult us in the question of the rule and we thought that we have got a right in it because of our near relationship to Allahs Apostle ﷺ ."
Thereupon Abu Bakrs eyes flowed with tears. And when Abu Bakr (RA) spoke, he said, "By Him in Whose Hand my soul is to keep good relations with the relatives of Allahs Apostle ﷺ is dearer to me than to keep good relations with my own relatives. But as for the trouble which arose between me and you about his property, I will do my best to spend it according to what is good, and will not leave any rule or regulation which I saw Allahs Apostle ﷺ following, in disposing of it, but I will follow." On that Ali said to Abu Bakr, "I promise to give you the oath of allegiance in this after noon." So when Abu Bakr (RA) had offered the Zuhr prayer, he ascended the pulpit and uttered the Tashah-hud and then mentioned the story of Ali and his failure to give the oath of allegiance, and excused him, accepting what excuses he had offered; Then Ali (got up) and praying (to Allah) for forgiveness, he uttered Tashah-hud, praised Abu Bakrs right, and said, that he had not done what he had done because of jealousy of Abu Bakr (RA) or as a protest of that Allah had favored him with. Ali added, "But we used to consider that we too had some right in this affair (of rulership) and that he (i.e. Abu Bakr) did not consult us in this matter, and therefore caused us to feel sorry." On that all the Muslims became happy and said, "You have done the right thing." The Muslims then became friendly with Ali as he returned to what the people had done (i.e. giving the oath of allegiance to Abu Bakr).