Solution of the cauchy problem for generalized euler-poisson-darboux equation by the method of fractional integrals

Abstract

In this work the singular Cauchy problem for the multi-dimensional Euler-Poisson-Darboux equation with spectral parameter has been investigated with the help of the generalized Erdelyi-Kober fractional operator. Solution of the considered problem is found in explicit form for various values of the parameter p of the equation.