Uniqueness result for a fractional diffusion coefficient identification problem

Jday, Fadhel; Mdimagh, Ridha

doi:10.1186/s13661-019-1278-x

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2024

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the articles [7,8] the heat conduction process was considered in composites and porous aluminum. More about the applications of the fractional derivatives can be found in [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Parameter Identification in the Two-Dimensional Riesz Space Fractional Diffusion Equation

2020

View full text Add to dashboard Cite

This paper presents the application of the swarm intelligence algorithm for solving the inverse problem concerning the parameter identification. The paper examines the two-dimensional Riesz space fractional diffusion equation. Based on the values of the function (for the fixed points of the domain) which is the solution of the described differential equation, the order of the Riesz derivative and the diffusion coefficient are identified. The paper includes numerical examples illustrating the algorithm’s accuracy.

show abstract

Section: Introductionmentioning

confidence: 99%

Parameter Identification in the Two-Dimensional Riesz Space Fractional Diffusion Equation

2020

View full text Add to dashboard Cite

show abstract

New type of the unique continuation property for a fractional diffusion equation and an inverse source problem

Liu,

Du,

2024

Bound Value Probl

View full text Add to dashboard Cite

In this work, a new type of the unique continuation property for time-fractional diffusion equations is studied. The proof is mainly based on the Laplace transform and the properties of Bessel functions. As an application, the uniqueness of the inverse problem in the simultaneous determination of spatially dependent source terms and fractional order from sparse boundary observation data is established.

show abstract

Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient

Mdimagh,

Jday

2024

MATH

View full text Add to dashboard Cite

show abstract

Uniqueness result for a fractional diffusion coefficient identification problem

Abstract: In this paper, we establish an identifiability result for the coefficient identification problem in a fractional diffusion equation in a bounded domain from the observation of the Cauchy data on particular subsets of the boundary.

Cited by 3 publications

References 21 publications

Parameter Identification in the Two-Dimensional Riesz Space Fractional Diffusion Equation

Parameter Identification in the Two-Dimensional Riesz Space Fractional Diffusion Equation

New type of the unique continuation property for a fractional diffusion equation and an inverse source problem

Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient

Contact Info

Product

Resources

About