Yes, there are specific days and festivals dedicated to Shirdi Sai Baba. The most significant festival is the Guru Purnima, which falls on the full moon day in the month of Ashadh (June-July). This day is celebrated to honor and pay tribute to the spiritual teachers, and Shirdi Sai Baba is considered the ultimate guru by his followers.

Another important festival is the Ram Navami, which is celebrated to commemorate the birth anniversary of Lord Rama, whom Shirdi Sai Baba considered as his guru. This festival is usually celebrated in the month of March or April.

The festival of Dussehra, which marks the victory of good over evil, is also celebrated with great enthusiasm by the devotees of Shirdi Sai Baba. It is believed that on this day, Baba defeated a powerful demon and protected his devotees.

Apart from these major festivals, there are also specific days dedicated to Shirdi Sai Baba. Thursdays are considered auspicious for his worship, and many devotees visit his shrines on this day. It is believed that Baba himself declared Thursday as his day and asked his devotees to fast or perform some good deeds on this day.

The day of Baba's Mahasamadhi, which is the day of his passing away from this physical world, is also observed with reverence and devotion. This day falls on the 15th of October and is marked by special prayers, bhajans, and offerings at his samadhi in Shirdi.

Apart from these festivals and days, many devotees also observe the 9-day Navratri festival in honor of Shirdi Sai Baba. They worship him as the embodiment of the divine mother during this auspicious period.

In addition to these specific days and festivals, Shirdi Sai Baba's followers also celebrate his teachings and life on a daily basis. They offer prayers and perform rituals in his name, seeking his blessings and guidance in their lives.

Shirdi Sai Baba's teachings of love, compassion, and selfless service continue to inspire millions of people around the world. His followers celebrate his life and legacy through these festivals and days, keeping his teachings alive and spreading his message of unity and harmony among all religions.