They both change the verb into "let someone do" form.
There is no difference in the meanings. It's just grammar matter.
"Saseru" can be used attached to other verb or as a stand alone verb (as "suru" can).
"Seru" should be always attached to other verb.
kaku(write) - kakaseru (let someone write)
taberu(eat) - tabesaseru(let someone eat)
suru (do) - saseru (let someone do)
benkyo suru (study) - benkyo saseru (let someone study)
@bill tong
"can do" is "dekiru" =)