On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator

Abstract

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