J Janno - Electron. J. Differential Equations, 2016 - ejde.math.txstate.edu
A generalized time fractional diffusion equation containing a lower order term of a convolutional form is considered. Inverse problem to determine the order of a fractional …
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 …
S Aziz, SA Malik - Electron. J. Differ. Equ, 2016 - kurims.kyoto-u.ac.jp
In this article, we considered two inverse source problems for fourth-order parabolic differential equation with fractional derivative in time. Determination of a space dependent …
N Kinash, J Janno - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
Inverse problems to recover a space‐dependent factor of a source term and an initial condition in a perturbed time fractional diffusion equation containing an additional …
H Lopushanska, A Lopushansky - Mathematical Methods in the …, 2019 - Wiley Online Library
We find the conditions for the unique solvability of the inverse problem for a time‐fractional diffusion equation with Schwarz‐type distributions in the right‐hand sides. This problem is to …
Inverse problems for a diffusion equation containing a generalized fractional derivative are studied. The equation holds in a time interval $(0, T) $ and it is assumed that a state $ u …
H Lopushanska, A Lopushansky - Mathematical Methods in the …, 2021 - Wiley Online Library
We find the conditions for the unique solvability of the inverse problem of the solution's initial data determination for a time fractional diffusion equation with a Schwartz‐type distribution …
Inverse problems to reconstruct a solution of a time fractional diffusion-wave equation in a cylindrical domain are studied. The equation is complemented by initial and final conditions …
A Lopushansky, H Lopushanska, O Myaus - Fractional differ. calc, 2016 - files.ele-math.com
For a time fractional diffusion equation and diffusion-wave equation with Caputo partial derivatives we prove the correctness of an inverse problem. This problem is to find a solution …