Multidimensional Generalized Erdélyi-Kober Operator and its Application to Solving Cauchy Problems for Differential Equations with Singular Coefficients-Reference-Cited by-同舟云学术

Multidimensional Generalized Erdélyi-Kober Operator and its Application to Solving Cauchy Problems for Differential Equations with Singular Coefficients

Published:2015-08-01 Issue:4 Volume:18 Page:845-861
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Karimov Shakhobiddin T.¹

Affiliation:

1. Ferghana State University ”Murabbiylar” Str., 19 Ferghana City, 150100, Republic of UZBEKISTAN

Abstract

Abstract In this paper we investigate some properties of the n-dimensional generalized Erdélyi-Kober operator with the Bessel function in the kernel and its applications in the case n = 3 to solving a Cauchy problem for four- dimensional differential equation of hyperbolic type with singular coefficients.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2015-0051/pdf

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