On the uniqueness of the solution of the Cauchy problem for the equation of fractional diffusion with Bessel operator

On the uniqueness of the solution of the Cauchy problem for the equation of fractional diffusion with Bessel operator

In this paper, we consider fractional diffusion equation involving the Bessel operator acting with respect to a spatial variable and the Riemann-Liouville fractional differentiation operator acting with respect to a time variable. When the order of the fractional derivative is unity, and the singula...

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Bibliographic Details
Main Author: Fatima G. Khushtova
Format: Article
Language:English
Published: Samara State Technical University 2018-11-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
fractional diffusion equation
fractional differentiation operator
Bessel operator
Cauchy problem
solution uniqueness
Tikhonov condition
Wright function
Online Access:http://mi.mathnet.ru/eng/vsgtu1639

Internet

http://mi.mathnet.ru/eng/vsgtu1639

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