Фундаментальное решение модельного уравнения аномальной диффузии дробного порядка

DOI10.14498/VSGTU1445zbMath1413.35011OpenAlexW2612032477MaRDI QIDQ4553689

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Publication date: 31 October 2018

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/vsgtu1445

zbMATH Keywords

fundamental solutionanomalous diffusionmodified Bessel functionRiemann-Liouville operatorgeneral representation of solutionwright functiondiffusion fractional orderintegral transformation wich wright function in kernel

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fractional partial differential equations (35R11)

Related Items (6)

Dirichlet boundary value problem in half-strip for fractional differential equation with Bessel operator and Riemann - Liouville partial derivative ⋮ Second boundary-value problem in a half-strip for equation of parabolic type with the Bessel operator and Riemann-liouvulle derivative ⋮ The second boundary-value problem in a half-strip for a parabolic-type equation with Bessel operator and Riemann-Liouville partial derivative ⋮ Задача Коши для уравнения параболического типа с оператором Бесселя и частной производной Римана-Лиувилля ⋮ Групповая классификация одного нелинейного приближенного уравнения субдиффузии ⋮ The second boundary value problem in a half-strip for a B-parabolic equation with the Gerasimov–Caputo time derivative

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• Degenerate elliptic-parabolic equation
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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