(a) A holder of obligations issued under this chapter or of coupons originally attached to the obligations may enforce and compel the board's performance of all duties required by this chapter, including:
(1) setting and collecting reasonable and sufficient fees or charges for the use of the authority's improvements and facilities;
(2) segregating the income and revenue of the improvements and facilities; and
(3) applying the income and revenue under this chapter.
(b) The holder of the obligations or coupons may act under Subsection (a):
(1) at law or in equity; and
(2) by an action, mandamus, or other proceeding.