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

Süleyman Çetinkaya; İrem Bağlan; Ali Demir

doi:10.31801/cfsuasmas.1639047

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

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.

Keywords

References

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Details

Primary Language

English

Subjects

Numerical Analysis

Journal Section

Research Article

Authors

Süleyman Çetinkaya ^*
0000-0002-8214-5099
Türkiye

İrem Bağlan
0000-0002-1877-9791
Türkiye

Ali Demir
0000-0003-3425-1812
Türkiye

Publication Date

September 23, 2025

Submission Date

February 13, 2025

Acceptance Date

March 19, 2025

Published in Issue

Year 2025 Volume: 74 Number: 3

DOI

https://doi.org/10.31801/cfsuasmas.1639047

IZ

https://izlik.org/JA45BL57NJ

Cite

RIS / Bibtex

APA

Çetinkaya, S., Bağlan, İ., & Demir, A. (2025). Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 74(3), 403-410. https://doi.org/10.31801/cfsuasmas.1639047

AMA

1.Çetinkaya S, Bağlan İ, Demir A. Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74(3):403-410. doi:10.31801/cfsuasmas.1639047

Chicago

Çetinkaya, Süleyman, İrem Bağlan, and Ali Demir. 2025. “Investigation of Inverse Problem for Unknown Coefficient in a Time Fractional Diffusion Problem With Periodic Boundary Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 (3): 403-10. https://doi.org/10.31801/cfsuasmas.1639047.

EndNote

Çetinkaya S, Bağlan İ, Demir A (September 1, 2025) Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 3 403–410.

IEEE

[1]S. Çetinkaya, İ. Bağlan, and A. Demir, “Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 74, no. 3, pp. 403–410, Sept. 2025, doi: 10.31801/cfsuasmas.1639047.

ISNAD

Çetinkaya, Süleyman - Bağlan, İrem - Demir, Ali. “Investigation of Inverse Problem for Unknown Coefficient in a Time Fractional Diffusion Problem With Periodic Boundary Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74/3 (September 1, 2025): 403-410. https://doi.org/10.31801/cfsuasmas.1639047.

JAMA

1.Çetinkaya S, Bağlan İ, Demir A. Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74:403–410.

MLA

Çetinkaya, Süleyman, et al. “Investigation of Inverse Problem for Unknown Coefficient in a Time Fractional Diffusion Problem With Periodic Boundary Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 74, no. 3, Sept. 2025, pp. 403-10, doi:10.31801/cfsuasmas.1639047.

Vancouver

1.Süleyman Çetinkaya, İrem Bağlan, Ali Demir. Investigation of inverse problem for unknown coefficient in a time fractional diffusion problem with periodic boundary conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025 Sep. 1;74(3):403-10. doi:10.31801/cfsuasmas.1639047