IIRC AExplorer needs hardware handshaking. Make sure the cable you use has the handshaking lines connected.
Also if the cable is too long or bad quality, the transfer might fail without notice.
Try to reduce the transfer speed.
If you have a program to read PC floppy disks (e.g. MessyDOS, Dos2Dos etc.) you should rather copy the needed files to floppy disk and read it on the Amiga. This is more reliable. Once the AExplorer file is on the Amiga you might have more success because AExplorer does some basic error checking/correction. It might still fail if the cable is bad.
Bye,
Thomas