Abstract:
In this paper we consider a boundary value problem for a fractionally loaded heat equation in the class of
continuous functions. Research methods are based on an approach to the study of boundary value problems,
based on their reduction to integral equations. The problem is reduced to a Volterra integral equation of the
second kind by inverting the differential part. We also carried out a study the limit cases for the fractional
derivative order of the term with a load in the heat equation of the boundary value problem. It is shown
that the existence and uniqueness of solutions to the integral equation depends on the order of the fractional
derivative in the loaded term.
