All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad, sallallaahu ‘alayhi wa sallam, is His Slave and Messenger.
Continuous charity is stated in the narrated hadith by Abu Hurayrah in which it was stated that the Prophet, sallallaahu ‘alayhi wa sallam, said: “When a person dies, his deeds come to an end, except for three: a continuous charity, knowledge from which people benefit, and a pious son who prays for him.” [Muslim]
Some scholars interpreted continuous charity to mean endowment because the basis is kept and the benefit is given in charity. So, the basis of endowment remains undiminished and that is why it is called continuous charity. Zakariyya Al-Ansaari, a Shaafi‘i scholar said, “Continuous charity is interpreted by some scholars to mean endowment as Ar-Raafi‘i said, ‘It does not mean bequest of giving the yields of things in charity because it is rare.'”
This kind of endowment is not conditioned with being done by the person himself. Rather, its reward returns to him even if it is endowed by another person. Zakariyya Al-Ansaari, may Allaah have Mercy upon him, said, “Prayer for the dead person, whether from an heir or a non-heir will benefit the dead. Similarly, endowment and charity on his behalf, building mosques, digging wells, and so on – on his behalf as charity – will benefit him like any deed he did during his life.”
Non-continuous charity is whatever is given in charity without retaining its basis, such as giving some money in charity.
Allaah Knows best.