A discretized Tikhonov regularization method for a fractional backward heat conduction problem
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Publication:1725399
DOI10.1155/2014/964373zbMath1474.65330OpenAlexW2161618617WikidataQ59043173 ScholiaQ59043173MaRDI QIDQ1725399
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/964373
Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
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Cites Work
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- On the fractal geometry of DNA by the binary image analysis
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Exact solution of impulse response to a class of fractional oscillators and its stability
- Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem
- Approximating ideal filters by systems of fractional order
- Separable transition density in the hybrid model for tumor-immune system competition
- Characteristic roots of a class of fractional oscillators
- Weighted sampling and signal reconstruction in spline subspaces
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Wavelets and stochastic processes
- Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
- A note on different covering numbers in learning theory.
- Time fractional advection-dispersion equation
- Time fractional diffusion: A discrete random walk approach
- Numerical solution of the Bagley-Torvik equation.
- Inverse heat problem of determining time-dependent source parameter in reproducing kernel space
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Approximating some Volterra type stochastic integrals with applications to parameter estimation.
- Fractional diffusion and wave equations
- Support Vector Machines
- The fractional diffusion equation
- Rank-Deficient and Discrete Ill-Posed Problems
- Discretization strategy for linear ill-posed problems in variable Hilbert scales
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- Tikhonov Regularization by a Reproducing Kernel Hilbert Space for the Cauchy Problem for an Elliptic Equation
- Regularization by projection for a backward problem of the time-fractional diffusion equation
- Theory of Reproducing Kernels
- A backward problem for the time-fractional diffusion equation
- Scattered Data Approximation
- A general solution of the diffusion equation for semiinfinite geometries
