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In this paper we investigate some properties of the n-dimensional generalized Erdélyi-Kober operator with the Bessel function in the kernel and its applications in the case n = 3 to solving a Cauchy problem for four- dimensional differential equation of hyperbolic type with singular coefficients.

fractional calculus and applied analysis

Multidimensional Generalized Erdélyi-Kober Operator and its Application to Solving Cauchy Problems for Differential Equations with Singular Coefficients