Initial-boundary value problem for a time-fractional subdiffusion equation with an arbitrary elliptic differential operator

DOI10.1134/S1995080221030070zbMath1465.35387arXiv2006.08439OpenAlexW3158655857WikidataQ115247358 ScholiaQ115247358MaRDI QIDQ2026668

Ravshan Ashurov, O. T. Muhiddinova

Publication date: 20 May 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08439

zbMATH Keywords

Sobolev spacesinitial-boundary value problemregular solutionFourier methodtime-fractional subdiffusion equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Fractional partial differential equations (35R11)

Related Items (9)

An initial boundary value problem for a partial differential equation of higher even order with a Bessel operator ⋮ Time-dependent source identification problem for fractional Schrödinger type equations ⋮ On the backward problems in time for time-fractional subdiffusion equations ⋮ DETERMINATION OF FRACTIONAL ORDER AND SOURCE TERM IN SUBDIFFUSION EQUATIONS ⋮ On the uniqueness of solutions of two inverse problems for the subdiffusion equation ⋮ Forward and inverse problems for the Barenblatt-Zheltov-Kochina type fractional equations ⋮ Time-dependent source identification problem for a fractional Schrödinger equation with the Riemann-Liouville derivative ⋮ A nonlocal problem for a mixed equation of high even order with a fractional Caputo derivative ⋮ Inverse problem for finding the order of the fractional derivative in the wave equation

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