Hadrat Abu Hurairah Radiallahu Anhu narrates that Rasulullah Salallahu Alaihi Wasallam said, "The Dua of a fasting person is not rejected."

It is mentioned in a narration that Allah Ta'ala commands the angels that are responsible for carrying the throne of Allah Ta'ala to leave their Ibaadat and say Ameen to the Duas of the fasting people. From many narrations the speciality of the Dua of Ramdaan has been proven, that is the Dua of Ramdaan is accepted. There cannot be a shadow of doubt that Duas are certainly accepted (in Ramdaan) as Allah Ta'ala and His truthful Rasul Salallahu Alaihi Wasallam have informed us. 

If a person makes Dua for a specific need yet it is not fulfilled then he should not think that his Dua has not been accepted rather he should understand the meaning of acceptance of Dua. Rasulullah Salallahu Alaihi Wasallam is reported to have said, "When a believer makes Dua then it takes either one of three forms on condition that he did not make Dua to break family ties or commit sin. 

1. Either the Dua is accepted.

2.  Due to supplicating before Allah Ta'ala, a calamity is removed from one's path.

3. The supplicater will receive the reward of his supplication in the Aakhirat (hereafter).