It sounds like you are experiencing issues on your phone when connected to your home Wi-Fi, but the phones Wi-Fi connection seems to work without issue everywhere else. I recommend starting by checking for possible interference in your home with this article:
Wi-Fi and Bluetooth: Potential sources of wireless interference
If the issue persists try these troubleshooting steps from the article named:
iOS: Troubleshooting Wi-Fi networks and connections
- Tap Settings > Wi-Fi and turn Wi-Fi off and on. If your Wi-Fi setting is dimmed, follow these steps.
- Restart your iOS device.
- Tap Settings > Wi-Fi and locate the Wi-Fi network to which you're connected.
- Tap and Forget this Network.
- Try to connect to your desired Wi-Fi network.
Note: You may need to enter your Wi-Fi password again if your network requires one.
- Turn your Wi-Fi router off and on2. If your ISP also provides cable or phone service, check with them before attempting this step to avoid interruption of service.
- Update your device to the latest version of software.
- Update your Wi-Fi router to the latest firmware2. For AirPort Base Stations, install updates using the AirPort Utility.
- Move closer to the Wi-Fi router (access point).
- Check for sources of potential interference.
- Remove any case, stand, or other accessories from your iOS device and see if signal strength improves.
- Reset network settings by tapping Settings > General > Reset > Reset Network Settings. Note: This will reset all network settings including
- previously connected Wi-Fi networks and passwords
- recently used Bluetooth accessories
- VPN and APN settings
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All the very best,