On One Method for the Solution of an Analog of the Cauchy Problem for a Polycaloric Equation with Singular Bessel Operator

摘要

We study an analog of the Cauchy problem for an inhomogeneous singular polycaloric (polyparabolic) equation with Bessel operator. By using the Erd,lyi-Kober operator of the fractional order, we deduce an explicit formula for the solution of the formulated problem.