Inverse source problems for a space–time fractional differential equation
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Publication:4991435
DOI10.1080/17415977.2019.1597079zbMath1466.35365OpenAlexW2952230509WikidataQ115295095 ScholiaQ115295095MaRDI QIDQ4991435
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Publication date: 3 June 2021
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2019.1597079
Inverse problems for PDEs (35R30) 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)
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Cites Work
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- Hilfer-Prabhakar derivatives and some applications
- An inverse problem for a generalized fractional diffusion
- Uniqueness for an inverse space-dependent source term in a multi-dimensional time-fractional diffusion equation
- Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
- Harnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problem
- Estimation of parameters in fractional subdiffusion equations by the time integral characteristics method
- Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
- Parameters estimation for a new anomalous thermal diffusion model in layered media
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Heat kernel estimates for the Dirichlet fractional Laplacian
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain
- Inverse source problem for a space-time fractional diffusion equation
- The role of fractional calculus in modeling biological phenomena: a review
- Modeling extreme-event precursors with the fractional diffusion equation
- Determination of a solely time-dependent source in a semilinear parabolic problem by means of boundary measurements
- Recognition of a time-dependent source in a time-fractional wave equation
- An inverse source problem for a two parameter anomalous diffusion equation with nonlocal boundary conditions
- Boundary-value problems for differential equations of fractional order
- Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations
- Uniqueness in inverse boundary value problems for fractional diffusion equations
- Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation
- Fractal and generalized Fokker–Planck equations: description of the characterization of anomalous diffusion in magnetic resonance imaging
- An inverse source problem for a one-dimensional space–time fractional diffusion equation
- A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point
- Characterizations and simulations of a class of stochastic processes to model anomalous diffusion
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamics
- An inverse problem for a family of time fractional diffusion equations
- On a final value problem for the time-fractional diffusion equation with inhomogeneous source
- Inverse problem for a space‐time fractional diffusion equation: Application of fractional Sturm‐Liouville operator
- Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
- Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
- Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
- An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
- Mittag-Leffler Functions, Related Topics and Applications
- From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
- A backward problem for the time‐fractional diffusion equation
- Stochastic models for fractional calculus
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