Article

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

Abstract

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.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods advanced mathematical theories

Identifiers

DOI: 10.3103/s1066369x17080035

Citations and references

Cited by 12 3 references

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