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s00mb

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- TL;DR Summary
- Looking for papers and research

Does anyone know any good research on this topic? I'm basically looking for information on what would be solving integral and differential equations in which the unknown you need to solve for is the level of a integral or derivative in the equation. For example F'1/2(u)+F'x(u)=F'1/3(u) where the first term is F to the 1/2 derivative in fractional calculus and the second term is to an unknown power of derivative and the last term is a 1/3 fractional derivative. I am curious if anyone knows of any work on this kind of topic? What would be the initial conditions needed to solve such an equation?

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