Am I converting iphone application to android?
1- Is there something similar to “iphones kernel data” on android sdk?
2- If not, does android support using sqlite databases?
here you can see the sqlite database documentation in android:
http://developer.android.com/reference/android/database/sqlite/SQLiteDatabase.html
Here is a good explanation of the various storage options in android:
http://developer.android.com/guide/topics/data/data-storage.html
For other readers looking for a replacement for Core Data in Android, I suggest an ORM tool like greenDAO for example. It allows you to work with Java objects and uses SQLite as its back back.