Inverse problems of determining sources of the fractional partial differential equations

Y Liu, Z Li, M Yamamoto - Handbook of fractional calculus with …, 2019 - degruyter.com
Inverse problems of determining sources of the fractional partial differential equations Page
1 Yikan Liu, Zhiyuan Li, and Masahiro Yamamoto Inverse problems of determining sources …

Comparison of mathematical models with fractional derivative for the heat conduction inverse problem based on the measurements of temperature in porous …

R Brociek, D Słota, M Król, G Matula… - International Journal of …, 2019 - Elsevier
In this paper the selected mathematical models of inverse heat conduction problem are
compared basing on the measurements of temperature in porous aluminum. In particular …

Simultaneous determination of source term and initial value in the heat conduction problem by modified quasi-reversibility regularization method

J Wen, XJ Ren, SJ Wang - Numerical Heat Transfer, Part B …, 2022 - Taylor & Francis
In this article, we investigate the inverse problem of determining source term and initial data
simultaneously in a parabolic equation where data are given at two fixed times. We can get …

Determine a space-dependent source term in a time fractional diffusion-wave equation

XB Yan, T Wei - Acta Applicandae Mathematicae, 2020 - Springer
This paper is devoted to identify a space-dependent source term in a multi-dimensional time
fractional diffusion-wave equation from a part of noisy boundary data. Based on the series …

Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation

F Yang, YP Ren, XX Li, DG Li - Boundary Value Problems, 2017 - Springer
This paper is devoted to identifying an unknown source for a time-fractional diffusion
equation with variable coefficients in a general bounded domain. This is an ill-posed …

Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation

YK Ma, P Prakash, A Deiveegan - Chaos, Solitons & Fractals, 2018 - Elsevier
In this paper, we identify the unknown space-dependent source term in a time-fractional
diffusion equation with variable coefficients in a bounded domain where additional data are …

[PDF][PDF] Landweber iterative method for an inverse source problem of time-fractional diffusion-wave equation on spherically symmetric domain

F Yang, N Wang, XX Li - J. Appl. Anal. Comput, 2020 - researchgate.net
In this paper, an inverse source problem of time-fractional diffusionwave equation on
spherically symmetric domain is considered. In general, this problem is ill-posed …

A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation

X Xiong, X Xue - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, we are concerned with an inverse source problem for the time-fractional
diffusion equation with variable coefficients in a general bounded domain. The problem is …

Numerical solution of an inverse source problem for a time-fractional PDE via direct meshless local Petrov–Galerkin method

T Molaee, A Shahrezaee - Engineering Analysis with Boundary Elements, 2022 - Elsevier
In this paper, we employ an improved Meshless Local Petrov–Galerkin (MLPG), namely
Direct Meshless Local Petrov–Galerkin (DMLPG) method, for solving an inverse time …

Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain

F Yang, P Zhang, XX Li, XY Ma - Advances in Difference Equations, 2020 - Springer
In this paper, we deal with the inverse problem of identifying the unknown source of time-
fractional diffusion equation on a columnar symmetric domain. This problem is ill-posed …