This is the 5949th most frequent Russian word.
свободного
"Свободного" means "free" or "of free" depending on the context.
In this sentence, 'свободного' is used as an adjective in the genitive case describing the noun 'времени,' meaning 'free.'
У меня есть немного свободного времени вечером.
I have some free time in the evening.
Here, 'свободного' also serves as an adjective in the genitive case, referring to 'места' (spot), denoting 'empty' or 'free.'
Я ищу стул свободного места.
I am looking for a chair in an empty spot.
In this case, 'свободного' denotes unused or available in relation to 'билета' (tickets).