Об одной краевой задаче в полуполосе для параболического уравнения четвертого порядка с оператором Римана-Лиувилля по временной переменной

Abstract

In this work a fourth-order inhomogeneous parabolic equation with time fractional derivative is considered. The boundary-value problem in the half-strip for equation under consideration is studied. In this paper a fundamental solution for fourth-order parabolic equation with time fractional derivative in terms of the Wright function is presented, а representation of the solution of the problem is constructed and uniqueness of the solution in the class of fast growth functions is proved.