On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System with Parameter Dependent Boundary Conditions

Hediye Dilara Tel; Baki Keskin

doi:10.17776/csj.1423665

EN

On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System with Parameter Dependent Boundary Conditions

Abstract

This study considers a conformable fractional Dirac-type integral differential system, focusing on its mathematical properties and practical implications. Asymptotic formulas have been derived for the solutions, eigenvalues, and nodes of the problem, providing a deeper understanding of the behavior of the system under varying conditions. These asymptotic results form the basis for analyzing the spectral characteristics and node distribution of the system. In addition, an algorithm is developed that effectively solves the inverse nodal problem and reconstructs the system coefficients from the nodal data.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Hediye Dilara Tel
0000-0003-1139-6146
Türkiye

Baki Keskin ^*
0000-0003-1689-8954
Türkiye

Publication Date

December 30, 2024

Submission Date

January 22, 2024

Acceptance Date

December 23, 2024

Published in Issue

Year 2024 Volume: 45 Number: 4

DOI

https://doi.org/10.17776/csj.1423665

IZ

https://izlik.org/JA46CT52NM

Cite

RIS / Bibtex

APA

Tel, H. D., & Keskin, B. (2024). On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System with Parameter Dependent Boundary Conditions. Cumhuriyet Science Journal, 45(4), 789-795. https://doi.org/10.17776/csj.1423665

AMA

1.Tel HD, Keskin B. On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System with Parameter Dependent Boundary Conditions. CSJ. 2024;45(4):789-795. doi:10.17776/csj.1423665

Chicago

Tel, Hediye Dilara, and Baki Keskin. 2024. “On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System With Parameter Dependent Boundary Conditions”. Cumhuriyet Science Journal 45 (4): 789-95. https://doi.org/10.17776/csj.1423665.

EndNote

Tel HD, Keskin B (December 1, 2024) On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System with Parameter Dependent Boundary Conditions. Cumhuriyet Science Journal 45 4 789–795.

IEEE

[1]H. D. Tel and B. Keskin, “On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System with Parameter Dependent Boundary Conditions”, CSJ, vol. 45, no. 4, pp. 789–795, Dec. 2024, doi: 10.17776/csj.1423665.

ISNAD

Tel, Hediye Dilara - Keskin, Baki. “On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System With Parameter Dependent Boundary Conditions”. Cumhuriyet Science Journal 45/4 (December 1, 2024): 789-795. https://doi.org/10.17776/csj.1423665.

JAMA

1.Tel HD, Keskin B. On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System with Parameter Dependent Boundary Conditions. CSJ. 2024;45:789–795.

MLA

Tel, Hediye Dilara, and Baki Keskin. “On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System With Parameter Dependent Boundary Conditions”. Cumhuriyet Science Journal, vol. 45, no. 4, Dec. 2024, pp. 789-95, doi:10.17776/csj.1423665.

Vancouver

1.Hediye Dilara Tel, Baki Keskin. On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System with Parameter Dependent Boundary Conditions. CSJ. 2024 Dec. 1;45(4):789-95. doi:10.17776/csj.1423665