Identifying the source function for time fractional diffusion with non-local in time conditions
From MaRDI portal
Publication:2244982
DOI10.1007/s40314-021-01538-yzbMath1476.35113OpenAlexW3166578334MaRDI QIDQ2244982
Nguyen Hoang Luc, Ravi P. Agarwal, Le Dinh Long, Dumitru Baleanu
Publication date: 12 November 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01538-y
regularizationill-posed probleminverse source problemfractional diffusion problemconvergence estimatesintegral condition
Fixed-point theorems (47H10) Heat equation (35K05) Nonlinear ill-posed problems (47J06) Parabolic equations and parabolic systems (35K99)
Related Items (5)
Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator ⋮ On backward problem for fractional spherically symmetric diffusion equation with observation data of nonlocal type ⋮ A high-order compact finite difference scheme and its analysis for the time-fractional diffusion equation ⋮ Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ A distributed‐order fractional diffusion equation with a singular density function: Analysis and approximation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Identifying an unknown source in time-fractional diffusion equation by a truncation method
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Iterative methods for ill-posed problems. An introduction.
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Recent history of fractional calculus
- Fractional diffusion equations by the Kansa method
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Recent applications of fractional calculus to science and engineering
- Numerically pricing double barrier options in a time-fractional Black-Scholes model
- Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
- On recovering parabolic diffusions from their time-averages
- Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
- Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data
- Reconstructing the right-hand side of a fractional subdiffusion equation from the final data
- Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel
- A fractional derivative with two singular kernels and application to a heat conduction problem
- On a strong-singular fractional differential equation
- On the mathematical model of Rabies by using the fractional Caputo-Fabrizio derivative
- Approximate solution for a 2-D fractional differential equation with discrete random noise
- Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method
- Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative
- Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
- A fractional Landweber method for solving backward time-fractional diffusion problem
- Regularized solution of an inverse source problem for a time fractional diffusion equation
- On a backward parabolic problem with local Lipschitz source
- A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
- Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain
- Two-step regularization methods for linear inverse problems
- Generalized mittag-leffler function and generalized fractional calculus operators
- Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
- On a terminal value problem for a generalization of the fractional diffusion equation with hyper‐Bessel operator
- On initial and terminal value problems for fractional nonclassical diffusion equations
- Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
- Fractional Calculus
- The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
This page was built for publication: Identifying the source function for time fractional diffusion with non-local in time conditions
