The local and non-local heat and mass transfer differential equations for the continuum with the memory and for the fractal structure ones are studied in the work. The boundary value problems for the fractional order differential equations are investigated. The non-conjugated integral operators and the boundary value problems connected to them are studied with the perturbation theory methods as well.
fractional derivative, fractional integral, function of Mittag-Leffler type
Mathematical modelling in actual problems of science and technics