Hi Jinu,
Thank you for contacting Syncfusion support.
To make the DatePicker component response, kindly enable the mobile mode by setting the isMobile into true in Created event. Kindly refer to the following example
If you have rendered the control in the desktop mode, to enable mobile mode in the smaller width, you need to refresh the component. If this does not meet your requirement. Kindly share us additional information on your requirement. This will help us provide a prompt solution.
Regards,
Prince