Pinging from the wireless laptop to the wired Desktop provides similar results. You should be able to ping if you have the correct IP for the computer. You would need to post more info on what service you want to run to get help or post what you have tried and the results/errors you receive.
ping -c 4 192.168.0.105
PING 192.168.0.105 (192.168.0.105) 56(84) bytes of data.
64 bytes from 192.168.0.105: icmp_req=1 ttl=64 time=4.53 ms
64 bytes from 192.168.0.105: icmp_req=2 ttl=64 time=6.59 ms
64 bytes from 192.168.0.105: icmp_req=3 ttl=64 time=2.40 ms
64 bytes from 192.168.0.105: icmp_req=4 ttl=64 time=4.65 ms
--- 192.168.0.105 ping statistics ---
4 packets transmitted, 4 received, 0% packet loss, time 3003ms
rtt min/avg/max/mdev = 2.401/4.543/6.593/1.485 ms