Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition

Yaşar Çakmak

doi:10.17776/csj.1243136

EN

Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition

Abstract

In this paper, we consider the inverse nodal problem for the conformable fractional diffusion operator with parameter-dependent Bitsadze–Samarskii type nonlocal boundary condition. We obtain the asymptotics for the eigenvalues, the eigenfunctions, and the zeros of the eigenfunctions (called nodal points or nodes) of the considered operator, and provide a constructive procedure for solving the inverse nodal problem, i.e., we reconstruct the potential functions p(x) and q(x) by using a dense subset of the nodal points.

Keywords

Diffusion operator, Inverse nodal problem, Conformable fractional derivative, Nonlocal boundary condition

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Yaşar Çakmak ^*
0000-0002-6820-1322
Türkiye

Publication Date

June 30, 2023

Submission Date

January 27, 2023

Acceptance Date

June 6, 2023

Published in Issue

Year 2023 Volume: 44 Number: 2

DOI

https://doi.org/10.17776/csj.1243136

IZ

https://izlik.org/JA28KC65AR

APA

Çakmak, Y. (2023). Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition. Cumhuriyet Science Journal, 44(2), 356-363. https://doi.org/10.17776/csj.1243136

AMA

1.Çakmak Y. Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition. CSJ. 2023;44(2):356-363. doi:10.17776/csj.1243136

Chicago

Çakmak, Yaşar. 2023. “Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition”. Cumhuriyet Science Journal 44 (2): 356-63. https://doi.org/10.17776/csj.1243136.

EndNote

Çakmak Y (June 1, 2023) Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition. Cumhuriyet Science Journal 44 2 356–363.

IEEE

[1]Y. Çakmak, “Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition”, CSJ, vol. 44, no. 2, pp. 356–363, June 2023, doi: 10.17776/csj.1243136.

ISNAD

Çakmak, Yaşar. “Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition”. Cumhuriyet Science Journal 44/2 (June 1, 2023): 356-363. https://doi.org/10.17776/csj.1243136.

JAMA

1.Çakmak Y. Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition. CSJ. 2023;44:356–363.

MLA

Çakmak, Yaşar. “Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition”. Cumhuriyet Science Journal, vol. 44, no. 2, June 2023, pp. 356-63, doi:10.17776/csj.1243136.

Vancouver

1.Yaşar Çakmak. Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition. CSJ. 2023 Jun. 1;44(2):356-63. doi:10.17776/csj.1243136

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Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition

Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition

Abstract

Keywords

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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