Hi,
You have not installed the sql server properly. You must had to define one system administrator for sql server or need to define user id and password if taking mix mode. Although you can try this
1. Type "services.msc" in Run
2. Shut down SQL Server (SQLEXPRESS) from services. Note the exe path.
3. Open cmd window (run as admin) and run single-user mode as local admin with this command (the path is from the previous step):
"c:\Program Files (x86)\Microsoft SQL Server\MSSQL.2\MSSQL\Binn\sqlservr.exe" -m -s SQLEXPRESS
4. Open another cmd window (run as admin).
5. Type the following sqlcmd:
sqlcmd -S .\SQLEXPRESS
In the prompt, type:
1> sp_addsrvrolemember '<domain\user>', 'sysadmin'
2> GO
6. Close both cmd windows.
7. Start the SQLExpress from the services control panel. Now the Create Database works
Hope this will help you