I'm looking at creating an online, part-time service business to fund my graduate math studies, possibly involving some colleagues.
The idea is a "virtual research assistant" service, i.e. you hire someone smart, highly-educated and comparatively cheap who can do the intellectual ground work for you. This would include things like background research/reading, preparing a decision with evaluation of products/technologies, on- and offline research for possible solutions the client is not aware of, discovering existing experts, report writing, ... The smallest unit you can buy is a single hour of research, for trial.
I can cover Software tech, CS, EE & Mathematics and hope to add more subjects with collaborators. I realise that traditional consultancies fill this market, but they are usually quite expensive and invasive, so I suspect there might be room for a lower-cost, no-frills service like mine.
What do you think?
Consider selling programming services. The client can request an application or website with certain functionality, and you use your superior expertise to create that functionality. Even though the client can't code, their experience from using the application/website can tell them that you delivered the goods.
Knowledge that is used to support strategic business decisions is not so easy to verify, mainly because it doesn't have consequences that can be directly experienced by non-experts.
So how do people get around this? Large consulting firms (McKinsey, BCG, Bain, etc.) spend considerable resources building their reputations, alumni networks (= potential clients), etc.
Small consulting firms usually build their reputations in local business and social circles, relying on repeat business and referrals.
Concretely, I'd suggest thinking about one or more of: (i) specific, rare domain expertise, (ii) finding one or a small handful of clients who can become comfortable hiring you repeatedly, (iii) research services that can be delivered in the form of data or code such that someone less expert than you can verify the quality.