Research Article

Regular conformable fractional Dirac systems with impulsive boundary conditions

Volume: 74 Number: 2 June 19, 2025
EN

Regular conformable fractional Dirac systems with impulsive boundary conditions

Abstract

The regular impulsive conformable fractional Dirac system is discussed in this study. First, the uniqueness and existence of solutions for certain kinds of systems are examined. Next, the fundamental features of the operator corresponding to these systems are found and its symmetry is shown. In the end, Green’s function for this problem is determined, and its fundamental characteristics are provided.

Keywords

References

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  3. Ali, A., Gupta, V., Abdeljawad, T., Shah, K., Jarad, F., Mathematical analysis of nonlocal implicit impulsive problem under Caputo fractional boundary conditions, Math. Probl. Engineer., 2020 (2020), 7681479, 1-16. https://doi.org/10.1155/2020/7681479.
  4. Ali, A., Ansari, K. J., Alrabaiah, H., Aloqaily, A., Mlaiki, N., Coupled System of Fractional Impulsive Problem Involving Power-Law Kernel with Piecewise Order, Fractal Fract., 7 (2023), 436. https://doi.org/10.3390/fractalfract7060436.
  5. Allahverdiev, B. P., Tuna, H., One-dimensional conformable fractional Dirac system, Bol. Soc. Mat. Mex., 26(1) (2020), 121-146. https://doi.org/10.1007/s40590-019-00235-5.
  6. Allahverdiev, B. P., Tuna, H., Titchmarsh–Weyl theory for Dirac systems with transmission conditions, Mediterr. J. Math., 15(151) (2018), 1-12. https://doi.org/10.1007/s00009-018-1197-6.
  7. Allahverdiev, B. P., Tuna, H., Spectral expansion for the singular Dirac system with impulsive conditions, Turkish J. Math., 42 (2018), 2527-2545. https://doi.org/10.3906/mat-1803-79.
  8. Amirov, R. K., Ozkan, A. S., Discontinuous Sturm–Liouville problems with eigenvalue dependent boundary condition, Math. Phys. Anal. Geom., 17(3-4) (2014), 483-491. https://doi.org/10.1007/s11040-014-9166-1.

Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Journal Section

Research Article

Publication Date

June 19, 2025

Submission Date

May 20, 2024

Acceptance Date

February 18, 2025

Published in Issue

Year 2025 Volume: 74 Number: 2

APA
Paşaoğlu Allahverdiev, B., & Tuna, H. (2025). Regular conformable fractional Dirac systems with impulsive boundary conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 74(2), 228-237. https://doi.org/10.31801/cfsuasmas.1486907
AMA
1.Paşaoğlu Allahverdiev B, Tuna H. Regular conformable fractional Dirac systems with impulsive boundary conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74(2):228-237. doi:10.31801/cfsuasmas.1486907
Chicago
Paşaoğlu Allahverdiev, Bilender, and Hüseyin Tuna. 2025. “Regular Conformable Fractional Dirac Systems With Impulsive Boundary Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 (2): 228-37. https://doi.org/10.31801/cfsuasmas.1486907.
EndNote
Paşaoğlu Allahverdiev B, Tuna H (June 1, 2025) Regular conformable fractional Dirac systems with impulsive boundary conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 2 228–237.
IEEE
[1]B. Paşaoğlu Allahverdiev and H. Tuna, “Regular conformable fractional Dirac systems with impulsive boundary conditions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 74, no. 2, pp. 228–237, June 2025, doi: 10.31801/cfsuasmas.1486907.
ISNAD
Paşaoğlu Allahverdiev, Bilender - Tuna, Hüseyin. “Regular Conformable Fractional Dirac Systems With Impulsive Boundary Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74/2 (June 1, 2025): 228-237. https://doi.org/10.31801/cfsuasmas.1486907.
JAMA
1.Paşaoğlu Allahverdiev B, Tuna H. Regular conformable fractional Dirac systems with impulsive boundary conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74:228–237.
MLA
Paşaoğlu Allahverdiev, Bilender, and Hüseyin Tuna. “Regular Conformable Fractional Dirac Systems With Impulsive Boundary Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 74, no. 2, June 2025, pp. 228-37, doi:10.31801/cfsuasmas.1486907.
Vancouver
1.Bilender Paşaoğlu Allahverdiev, Hüseyin Tuna. Regular conformable fractional Dirac systems with impulsive boundary conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025 Jun. 1;74(2):228-37. doi:10.31801/cfsuasmas.1486907

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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