Email this article Method of solving the Cauchy problem for one-dimensional polywave equation with singular Bessel operator
- Authors: Karimov S.T.1
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Affiliations:
- Fergana State University
- Issue: Vol 61, No 8 (2017)
- Pages: 22-35
- Section: Article
- URL: https://journals.rcsi.science/1066-369X/article/view/224292
- DOI: https://doi.org/10.3103/S1066369X17080035
- ID: 224292
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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.
About the authors
Sh. T. Karimov
Fergana State University
Author for correspondence.
Email: shkarimov09@rambler.ru
Uzbekistan, ul. Murabbiylar 19, Fergana, 150100
