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An analogue of the Cauchy problem for the iterated multidimensional Klein-Gordon-Fock equation with a time-dependent Bessel operator is investigated.Applying the generalized Erdelyi-Kober operator of fractional order, theproblem posed is reduced to the Cauchy problem for the polywave equation. Anexplicit formula for solving this problem is constructed by the spherical meanmethod. On the basis of the solution obtained, an integral representation ofthe solution of the problem is found.

Solution of the analogue of the Cauchy problem for the iterated multidimensional Klein-Gordon-Fock equation with the Bessel operator