An inverse problem for a family of time fractional diffusion equations

DOI10.1080/17415977.2016.1255738zbMath1398.65232OpenAlexW2551793888MaRDI QIDQ4637991

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Publication date: 3 May 2018

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2016.1255738

zbMATH Keywords

Mittag-Leffler functionnonlocal boundary conditionsfractional derivativebi-orthogonal system of functions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in thermodynamics and heat transfer (80A23) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

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Some inverse problems for fractional integro-differential equation involving two arbitrary kernels ⋮ Time-dependent source identification problem for a fractional Schrödinger equation with the Riemann-Liouville derivative ⋮ On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation ⋮ Inverse problems for diffusion equation with fractional Dzherbashian-Nersesian operator ⋮ SIMULTANEOUS DETERMINATION OF A SOURCE TERM AND DIFFUSION CONCENTRATION FOR A MULTI-TERM SPACE-TIME FRACTIONAL DIFFUSION EQUATION ⋮ Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach ⋮ Inverse source problems for a space–time fractional differential equation ⋮ Existence and uniqueness results for a multi-parameters nonlocal diffusion equation

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