[HTML][HTML] The backward problem for a time-fractional diffusion-wave equation in a bounded domain

T Wei, Y Zhang - Computers & Mathematics with Applications, 2018 - Elsevier
This paper is devoted to solve the backward problem for a time-fractional diffusion-wave
equation in a bounded domain. Based on the series expression of the solution for the direct …

A Tikhonov regularization method for solving a backward time–space fractional diffusion problem

X Feng, M Zhao, Z Qian - Journal of Computational and Applied …, 2022 - Elsevier
In this paper, a backward problem for a time–space fractional diffusion equation is
considered, which is to determine the initial data from a noisy final data. To deal with this ill …

Novel calibration algorithm for a three-axis strapdown magnetometer

YX Liu, XS Li, XJ Zhang, YB Feng - Sensors, 2014 - mdpi.com
A complete error calibration model with 12 independent parameters is established by
analyzing the three-axis magnetometer error mechanism. The said model conforms to an …

On a terminal value problem for a generalization of the fractional diffusion equation with hyper‐Bessel operator

NH Tuan, LN Huynh, D Baleanu… - … Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we consider an inverse problem of recovering the initial value for a
generalization of time‐fractional diffusion equation, where the time derivative is replaced by …

The quasi-boundary value method for identifying the initial value of heat equation on a columnar symmetric domain

F Yang, YR Sun, XX Li, CY Huang - Numerical Algorithms, 2019 - Springer
In this paper, we consider an inverse problem for determining the initial value of heat
equation with inhomogeneous source on a columnar symmetric domain. The quasi …

Backward problems in time for fractional diffusion-wave equation

G Floridia, M Yamamoto - arXiv preprint arXiv:2007.09364, 2020 - arxiv.org
In this article, for a time-fractional diffusion-wave equation $\pppa u (x, t)=-Au (x, t) $, $0< t< T
$ with fractional order $\alpha\in (1, 2) $, we consider the backward problem in time …

The quasi-boundary value method for identifying the initial value of the space-time fractional diffusion equation

F Yang, Y Zhang, X Liu, X Li - Acta Mathematica Scientia, 2020 - Springer
In this article, we consider to solve the inverse initial value problem for an inhomogeneous
space-time fractional diffusion equation. This problem is ill-posed and the quasi-boundary …

POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification

H Fu, H Wang, Z Wang - Journal of Scientific Computing, 2018 - Springer
In this paper, a reduced-order model (ROM) based on the proper orthogonal decomposition
and the discrete empirical interpolation method is proposed for efficiently simulating time …

Inverse problems of determining coefficients of the fractional partial differential equations

Z Li, M Yamamoto - Handbook of fractional calculus with applications, 2019 - degruyter.com
When considering fractional diffusion equation as model equation in analyzing anomalous
diffusion processes, some important functions in the model, for example, the source term are …

[HTML][HTML] On a terminal value problem for pseudoparabolic equations involving Riemann–Liouville fractional derivatives

TB Ngoc, Y Zhou, D O'Regan, NH Tuan - Applied Mathematics Letters, 2020 - Elsevier
On a terminal value problem for pseudoparabolic equations involving Riemann–Liouville
fractional derivatives - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …