Will there be any problem in my student visa for Canada if my?
No, there shouldnt be a problem, provided that you can establish that you are one and the same person, regardless of the surname, armed with the appropriate official documentation. Might mean getting your mothers marriage/divorce certificate, your own birth certificate, any documents that relate to a change of name on your part. So long as these can be verified/certified and supported by a statutory declaration or certified statement if necessary, I cannot think that you wouldnt be fine. So long as you can prove you are the same person and have the paperwork and you meet the requirements, you can call yourself what you like, Im sure.