Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation
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Publication:2222163
DOI10.1016/j.cam.2020.113213zbMath1458.35471OpenAlexW3089558765MaRDI QIDQ2222163
Emilia Bazhlekova, I. B. Bazhlekov
Publication date: 3 February 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113213
inverse source problemmultinomial Mittag-Leffler functionStieltjes functionnon-selfadjoint problemgeneral time-fractional diffusion equation
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Cites Work
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- An inverse problem for a generalized fractional diffusion
- Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- Identifying an unknown source in time-fractional diffusion equation by a truncation method
- Inverse source problem with a final overdetermination for a fractional diffusion equation
- General fractional calculus, evolution equations, and renewal processes
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
- An inverse source problem for a two-parameter anomalous diffusion with local time datum
- Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
- An operational method for solving fractional differential equations with the Caputo derivatives
- How to express basis conditions and conditions for the equiconvergence with trigonometric series of expansions related to nonselfadjoint differential operators
- From continuous time random walks to the generalized diffusion equation
- Beyond monofractional kinetics
- Well-posedness of general Caputo-type fractional differential equations
- Inverse source problem for a space-time fractional diffusion equation
- On fractional calculus with general analytic kernels
- A practical guide to Prabhakar fractional calculus
- A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators
- Existence and regularity of final value problems for time fractional wave equations
- Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
- Uniqueness in the inversion of distributed orders in ultraslow diffusion equations
- Inverse problems for a class of degenerate evolution equations with Riemann - Liouville derivative
- Subordination principle for a class of fractional order differential equations
- A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
- General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems
- From Bessel to Multi-Index Mittag–Leffler Functions
- Exact solution of two-term time-fractional Thornley's problem by operational method
- Inverse source problem for a fractional diffusion equation
- Estimates for a general fractional relaxation equation and application to an inverse source problem
- A derivative concept with respect to an arbitrary kernel and applications to fractional calculus
- Basic Theory
- Fractional Differential Equations
- INVERSE PROBLEMS FOR A GENERALIZED SUBDIFFUSION EQUATION WITH FINAL OVERDETERMINATION
- Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- Generalized diffusion-wave equation with memory kernel
- A tutorial on inverse problems for anomalous diffusion processes
- Completely monotone functions and some classes of fractional evolution equations
- Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
- Mittag-Leffler Functions, Related Topics and Applications
- Bernstein functions. Theory and applications
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