Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions

Süleyman Çetinkaya; İrem Bağlan; Ali Demir

Article Details

Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions

Authors:

Süleyman Çetinkaya | İrem Bağlan | Ali Demir

Publisher:

Ankara University

Main Topics:

Numerical Analysis

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 3, pp.403-410

Document Type:

Article

Publication Date:

9/2025

Document Language:

English

Document ID (Org No.):

2001357882

pISSN:

1303-5991

Keywords:

Abstract:

 This paper is about the identification of time dependent unknown function in a time fractional diffusion problem with periodic boundary conditions. Nonlocal over-determined condition in integral form is taken into account in the determination of unknown function as well as the solution of the problem. The existence, uniqueness as well as continuous dependence on data for the inverse problem is presented with certain regularity and consistency conditions. Generalized Fourier method is utilized in this study. The algorithm of the method and an example are also presented to show the effectiveness and accuracy of the proposed method.

 This paper is about the identification of time dependent unknown function in a time fractional diffusion problem with periodic boundary conditions. Nonlocal over-determined condition in integral form is taken into account in the determination of unknown function as well as the solution of the problem. The existence, uniqueness as well as continuous dependence on data for the inverse problem is presented with certain regularity and consistency conditions. Generalized Fourier method is utilized in this study. The algorithm of the method and an example are also presented to show the effectiveness and accuracy of the proposed method.

 This paper is about the identification of time dependent unknown function in a time fractional diffusion problem with periodic boundary conditions. Nonlocal over-determined condition in integral form is taken into account in the determination of unknown function as well as the solution of the problem. The existence, uniqueness as well as continuous dependence on data for the inverse problem is presented with certain regularity and consistency conditions. Generalized Fourier method is utilized in this study. The algorithm of the method and an example are also presented to show the effectiveness and accuracy of the proposed method.

 This paper is about the identification of time dependent unknown function in a time fractional diffusion problem with periodic boundary conditions. Nonlocal over-determined condition in integral form is taken into account in the determination of unknown function as well as the solution of the problem. The existence, uniqueness as well as continuous dependence on data for the inverse problem is presented with certain regularity and consistency conditions. Generalized Fourier method is utilized in this study. The algorithm of the method and an example are also presented to show the effectiveness and accuracy of the proposed method.

Article Details

Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions

Authors:

Süleyman Çetinkaya | İrem Bağlan | Ali Demir

Publisher:

Ankara University

Main Topics:

Numerical Analysis

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 3, pp.403-410

Document Type:

Article

Publication Date:

9/2025

Document Language:

English

Document ID (Org No.):

2001357882

pISSN:

1303-5991

Inverse problem

Fourier method

time fractional diffusion problem

nonlocal condition

periodic boundary conditions

Issues

Article Details

Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions

Authors: Süleyman Çetinkaya | İrem Bağlan | Ali Demir

Publisher: Ankara University

Main Topics: Numerical Analysis

Journal: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 3, pp.403-410

Document Type: Article

Publication Date: 9/2025

Document Language: English

Document ID (Org No.): 2001357882

pISSN: 1303-5991

Inverse problem

Fourier method

time fractional diffusion problem

nonlocal condition

periodic boundary conditions

Issues

Authors:

Süleyman Çetinkaya | İrem Bağlan | Ali Demir

Publisher:

Ankara University

Main Topics:

Numerical Analysis

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 3, pp.403-410

Document Type:

Article

Publication Date:

9/2025

Document Language:

English

Document ID (Org No.):

2001357882

pISSN:

1303-5991