Cauchy problem for a parabolic equation with Bessel operator and Riemann–Liouville partial derivative

Cauchy problem for a parabolic equation with Bessel operator and Riemann–Liouville partial derivative

In this paper Cauchy problem for a parabolic equation with Bessel operator and with Riemann–Liouville partial derivative is considered. The representation of the solution is obtained in terms of integral transform with Wright function in the kernel. It is shown that when this equation becomes the fr...

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Bibliographic Details
Main Author: Fatima G. Khushtova
Format: Article
Language:English
Published: Samara State Technical University 2016-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
fractional calculus
Riemann–Liouville integral-differential operator
differential equations with partial fractional derivatives
parabolic equation
Bessel operator
the modified Bessel function of the first kind
Wright function
the integral transform with Wright function in the kernel
Fox H-function
Cauchy problem
Tikhonov condition
Online Access:http://mi.mathnet.ru/eng/vsgtu1455

Internet

http://mi.mathnet.ru/eng/vsgtu1455

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