Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation

Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation

In this paper, we study direct and inverse problems for a nonlinear time fractional diffusion equation. We prove that the direct problem has a unique weak solution and the solution depends continuously on the coefficient. Then we show that the inverse problem has a quasi-solution. The direct problem...

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Bibliographic Details
Main Authors: Mustafa Zeki, Ramazan Tinaztepe, Salih Tatar, Suleyman Ulusoy, Rami Al-Hajj
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Fractal and Fractional
Subjects:
fractional diffusion
inverse problem
quasi-solution
existence and uniqueness
method of lines
Online Access:https://www.mdpi.com/2504-3110/7/5/371

Internet

https://www.mdpi.com/2504-3110/7/5/371

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