Abstract:
In this paper we consider the first boundary value problem for the loaded equation of heat
conduction in a quarter plane. The loaded term is the trace of the fractional derivative of order
ν, 0 ≤ ν ≤ 1 with respect to the time variable on the line x = t. It is shown that when 0 ≤ ν ≤ 1
and ∀λ ∈C, then the load is a weak
perturbation, that is, the studied problem has a unique solution in the class of bounded functions.
