If a fasting person intends to break their fast but does not, is their fast still valid?

Whoever intended to break their fast and resolved to do so, their fast is invalidated, according to the Prophet, peace and blessings be upon him: "Actions are but by intentions." This is the view of the Malikis and the correct opinion among the Hanbalis. As for one who hesitated in the intention to break the fast and did not resolve to do so, scholars have differed regarding the validity of their fast; some said their fast is invalidated, while others said it is valid.