Первая краевая задача в прямоугольной области для дифференциального уравнения с оператором Бесселя и частной производной Римана-Лиувилл

DOI10.14498/VSGTU1820zbMath1499.35658OpenAlexW4214696341MaRDI QIDQ5005819

Fatima Gidovna Khushtova

Publication date: 11 August 2021

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1820

zbMATH Keywords

Bessel operatorfractional differentiation operatorfractional diffusion equationcylindrical functionfirst boundary-value problemMittag-Leffler type function

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Cites Work

• First boundary-value problem in the half-strip for a parabolic-type equation with Bessel operator and Riemann-Liouville derivative
• Second boundary-value problem in a half-strip for equation of parabolic type with the Bessel operator and Riemann-liouvulle derivative
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• The second boundary-value problem in a half-strip for a parabolic-type equation with Bessel operator and Riemann-Liouville partial derivative
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The first boundary-value problem for a fractional diffusion-wave equation in a non-cylindrical domain
• Задача Коши для уравнения параболического типа с оператором Бесселя и частной производной Римана-Лиувилля
• Dirichlet boundary value problem in half-strip for fractional differential equation with Bessel operator and Riemann - Liouville partial derivative
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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