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Method of solving the Cauchy problem for one-dimensional polywave equation with singular Bessel operator

Sh. T. KarimovFergana State University, ul. Murabbiylar 19, Fergana, 150100, Uzbekistan
Russian Mathematicsjournal2017en
ABI

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We study the Cauchy problem for an equation with singular Bessel operator. Unlike traditional methods to solve this problem, we apply Erde´ lyi–Kober fractional operator and find an explicit formula for the desired solution. We prove that the resulting formula is a unique classical solution to the problem.

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Koʻrsatkichlar — AkademScholar · Tez orada