Hello, My name is ***** ***** I'll be assisting you. I'm sorry you're having problems. I'm reviewing your details now and will reply shortly.
The problem you're having is either due to the software in the Kindle locking up, or it needing a new charger in most cases. The first thing you would do, is simply press and hold the power button on the Kindle for 40 FULL seconds, then release and wait a full minute for it to reboot (do no press anything else within that minute). If this does not cure the issue, try that reset up to THREE TIMES and wait the full minute to see if it reboots.
If this does not allow the Kindle to register that it's charging, then you would want to purchase another charge cable to try (as the charge cables can fail without notice). That can be purchased at the link below:
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