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

被引:0
作者
Shakhobiddin T. Karimov
机构
[1] Ferghana State University “Murabbiylar”,
来源
Fractional Calculus and Applied Analysis | 2015年 / 18卷
关键词
Primary 26A33; 35L10; Secondary 35L80; 35L81; fractional calculus; Erdélyi-Kober operator; generalized Erdélyi-Kober operator; multidimensional Erdélyi-Kober operator; Cauchy problem; differential equation with singular coefficients;
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中图分类号
学科分类号
摘要
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.
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页码:845 / 861
页数:16
相关论文
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