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

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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.

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Urinov, A. K., & Karimov, S. T. (2013). Solution of the cauchy problem for generalized euler-poisson-darboux equation by the method of fractional integrals. In Springer Proceedings in Mathematics and Statistics (Vol. 44, pp. 321–337). Springer New York LLC. https://doi.org/10.1007/978-3-319-00125-8_15

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