Identification of a kernel in an evolutionary integral equation occurring in subdiffusion

DOI10.1515/JIIP-2016-0082zbMath1386.35476OpenAlexW2613965368MaRDI QIDQ1684685

Jaan Janno, Kairi Kasemets

Publication date: 12 December 2017

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2016-0082

zbMATH Keywords

inverse problemevolutionary integral equationfractional diffusionsubdiffusiondistributed fractional derivatives

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23) Integro-partial differential equations (35R09)

Related Items (5)

Source identification problems for abstract semilinear nonlocal differential equations ⋮ General fractional integrals and derivatives and their applications ⋮ Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements ⋮ INVERSE PROBLEMS FOR A GENERALIZED SUBDIFFUSION EQUATION WITH FINAL OVERDETERMINATION ⋮ Operational calculus for the general fractional derivative and its applications

Cites Work

• Unnamed Item
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• An inverse problem for a generalized fractional diffusion
• Second-gradient viscoelastic fluids: dissipation principle and free energies
• Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation
• Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
• Fractional calculus models of complex dynamics in biological tissues
• Chaos, fractional kinetics, and anomalous transport
• A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
• Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations
• An optimal filtering method for a time-fractional inverse advection-dispersion problem
• Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction–diffusion equation
• Coefficient inverse problem for a fractional diffusion equation
• Inverse source problem for a fractional diffusion equation
• Natural and Modified Forms of Distributed-Order Fractional Diffusion Equations
• Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
• Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
• Fractional diffusion in inhomogeneous media
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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