According to the Islamic calendar, as we reach Maghrib, or dusk time today it will be 1 Muharram 1435H.
While the Gregorian calendar follows the solar year, the Islamic calendar follows the lunar year.
A lunar year is based on the moon which is the motion of the moon around the earth. Islamic calendar is based on the lunar year, and was introduced by the 2nd caliph, Sayidina Umar r.a. There are 354 days in the lunar year.
A solar year is based on the seasons. The Gregorian calendar is based on the solar year. There are 365 days in the solar year.
Have a blessed new year to all my Muslim brothers and sisters! May this coming year bring you closer to your Creator and His Beloved, InsyaAllah. 🙂