Answer:
A theoretical framework arises from outcomes beyond a single study, based on one or more theories, e.g. Darwin's theory of evolution by natural selection. A conceptual framework is created before you start your experiments.
I also have to have both theoretical and conceptual frameworks in my study. From my reading of literature on research methods in the social sciences and behavioural sciences, the two terms are not research design-specific. In other words, it is not so that one belongs to the qualitative paradigm while the other to the quantitative one. Though the terms might have been used interchangeably, in fact, they refer to different things.
Theoretical framework in a study is based on an existing theory or theories (e.g., a theory of motivation). The conceptual framework, on the other hand, is something you can develop yourself based on this theory. You inevitably would use some --if not all-- concept that this particular theory operates with. In addition, in your conceptual framework you can add your own concept / constructs / variables that you think are relevant and then proceed to explore or test the relationship between them.
Hope this helps and good luck!
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