Non-local initial problem for second order time-fractional and space-singular equation

DOI10.14492/hokmj/1602036030zbMath1452.35241arXiv1701.01904OpenAlexW3092524614MaRDI QIDQ2212215

Murat O. Mamchuev, Michael Ruzhansky, Erkinjon Tulkinovich Karimov

Publication date: 19 November 2020

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01904

zbMATH Keywords

Cauchy problemBessel operatormultinomial Mittag-Leffler function

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11)

Related Items (12)

On a mixed problem for Hilfer type fractional differential equation with degeneration ⋮ Inverse coefficient problem for a time-fractional diffusion equation in the bounded domain ⋮ Complex powers of fractional sectorial operators and quasilinear equations with Riemann-Liouville derivatives ⋮ Generalized Sturm problem for a linear fractional differential equation ⋮ Inverse problem for a third-order parabolic-hyperbolic equation involves fractional derivatives ⋮ Inverse coefficient problems for a time-fractional wave equation with the generalized Riemann-Liouville time derivative ⋮ Inverse coefficient problem for a fractional wave equation with time-nonlocal and integral overdetermination conditions ⋮ Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative ⋮ Inverse Source Problem for Multi-term Fractional Mixed Type Equation ⋮ Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions ⋮ Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces ⋮ Cauchy type problems for fractional differential equations

Cites Work

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• On the well-posedness of weakly hyperbolic equations with time-dependent coefficients
• Dispersive estimates for hyperbolic systems with time-dependent coefficients
• Boundary value problems for multi-term fractional differential equations
• On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel Operators
• Inverse Problems of a Fractional Differential Equation with Bessel Operator

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