Boundary value problem for partial differential equation with fractional Riemann - Liouville derivative

DOI10.13108/2015-7-3-67zbMath1374.35267OpenAlexW4237725589WikidataQ115238944 ScholiaQ115238944MaRDI QIDQ2969564

Oleg A. Repin

Publication date: 15 March 2017

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13108/2015-7-3-67

zbMATH Keywords

boundary value problemdifferential equation of fractional ordergeneralized operator of fractional integro-differentiationWright's function

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

An analog of the Tricomi problem for a mixed-type equation with fractional derivative. Inverse problems ⋮ Boundary-value problem with Saigo operators for mixed type equation with fractional derivative ⋮ On a problem for a mixed-type equation with fractional derivative ⋮ Об одной задаче для уравнения смешанного типа с частной дробной производной Римана-Лиувилля ⋮ Boundary value problem with shift for loaded hyperbolic-parabolic type equation involving fractional diffusion operator ⋮ A boundary value problem for a partial differential equation with fractional derivative

Cites Work

• An analog of the Bitsadze-Samarskiĭ problem for a mixed type equation with a fractional derivative
• The G and H Functions as Symmetrical Fourier Kernels
• The Asymptotic Expansion of the Generalized Hypergeometric Function
• The asymptotic expansion of integral functions defined by Taylor series
• The Asymptotic Expansion of the Generalized Hypergeometric Function
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