Safely convert a function `T -> R throws E` to `T -> Optional<R>` [Java]

Safely.java

class Example {
    <T, R, E extends Exception> Function<T, Optional<R>> safely(Function<T, R> fun, Class<E> exc) {
        return v -> {
            try {
                return Optional.ofNullable(fun.apply(v));
            } catch (Exception e) {
                if (exc.isInstance(e)) {
                    return Optional.empty();
                } else {
                    throw e;
                }
            }
        };
    }
    
    public static void main(String[] args) {
        Optional.ofNullable(possiblyNullString).flatMap(safely(Long::parseLong, NumberFormatException.class))
    }
}