Abstract:
In this paper, we consider the Gevrey problem for a loaded parabolic equation with the direct and reverse time in an unbounded region. The
question on the solvability of this problem is reduced to the issue of the solvability of the generalized Abel equation in the class of function
satisfying the Hölder condition.
Keywords:Gevrey problem, loaded equation, Riemann–Liouville fractional differentiation operator, function of Wright type, Abel equation, Hölder
condition.