Direct and inverse problems for time-fractional heat equation generated by Dunkl operator
DOI10.1515/jiip-2021-0008zbMath1518.35618OpenAlexW4281994489WikidataQ114052953 ScholiaQ114052953MaRDI QIDQ6112101
Bayan Bekbolat, Daurenbek Serikbaev, N. E. Tokmagambetov
Publication date: 7 July 2023
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-2021-0008
heat equationinverse problemCauchy problemdirect problemDunkl operatorDunkl transforminverse Dunkl transform
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Inverse problems for PDEs (35R30) Functional calculus for linear operators (47A60) Pseudodifferential operators (47G30) Fractional partial differential equations (35R11) Harmonic analysis and PDEs (42B37)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a class of problems of determining the temperature and density of heat sources given initial and final temperature
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- An operational method for solving fractional differential equations with the Caputo derivatives
- The Dunkl transform
- \(L^{p}\)-Fourier multipliers for the Dunkl operator on the real line.
- Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation
- Conditions for the absence of blowing up solutions to fractional differential equations
- One nonlocal problem of determination of the temperature and density of heat sources
- Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
- Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations
- Inverse problems for a class of degenerate evolution equations with Riemann - Liouville derivative
- Comparing Fréchet and positive stable laws
- Uniqueness for an inverse source problem of determining a space-dependent source in a non-autonomous time-fractional diffusion equation
- Dunkl heat semigroup and applications
- Generalized heat equation and applications
- Some inverse problems for the nonlocal heat equation with Caputo fractional derivative
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- Differential-Difference Operators Associated to Reflection Groups
- Integral Kernels with Reflection Group Invariance
- Structural identification of an unknown source term in a heat equation
- Psedidifferential-difference operators associated with dunkl operators
- Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator
- Direct and inverse problems for time-fractional pseudo-parabolic equations
- A tutorial on inverse problems for anomalous diffusion processes
- Numerical method in reproducing kernel space for an inverse source problem for the fractional diffusion equation