Is fasting on days when a person hesitated to complete the fast, or intended to break it and then changed their mind, valid, or must it be made up, given that some fatwas indicate that hesitation or intending to break the fast invalidates it, while others state that the fast is valid as long as it was not actually broken, and that the issue is a matter of scholarly disagreement among jurists?

If a fasting person intends to break their fast, they have indeed broken it due to the lapse of the condition of intention. They are required to make up the days during which they resolved to break the fast. As for hesitation about breaking the fast, it does not invalidate the fast according to the most authoritative opinion, and there is no need to make up those days. However, making them up is better as a precaution and to avoid scholarly disagreement.