Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations

Mustafa Aydın

doi:10.47000/tjmcs.1674989

Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations

Abstract

This paper mainly explores Green’s function to deduce the unique solution of boundary value problems in two-point tempered fractional difference equations. Discrete tempered fractional calculus has been slightly improved. Using a weighted norm, sufficient and necessary conditions are determined to show the existence of a unique solution to two-point tempered fractional difference equations. The stability results of these equations are analyzed.

Keywords

References

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Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems, Operations Research İn Mathematics, Dynamical Systems in Applications

Journal Section

Research Article

Authors

Mustafa Aydın ^*
0000-0003-0132-9636
Türkiye

Publication Date

October 13, 2026

Submission Date

April 12, 2025

Acceptance Date

June 4, 2026

Published in Issue

Year 2026 Volume: 18 Number: 3

DOI

https://doi.org/10.47000/tjmcs.1674989

IZ

https://izlik.org/JA45CL59GJ

Cite

RIS / Bibtex

APA

Aydın, M. (2026). Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations. Turkish Journal of Mathematics and Computer Science, 18(3), 848-862. https://doi.org/10.47000/tjmcs.1674989

AMA

1.Aydın M. Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations. TJMCS. 2026;18(3):848-862. doi:10.47000/tjmcs.1674989

Chicago

Aydın, Mustafa. 2026. “Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations”. Turkish Journal of Mathematics and Computer Science 18 (3): 848-62. https://doi.org/10.47000/tjmcs.1674989.

EndNote

Aydın M (October 1, 2026) Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations. Turkish Journal of Mathematics and Computer Science 18 3 848–862.

IEEE

[1]M. Aydın, “Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations”, TJMCS, vol. 18, no. 3, pp. 848–862, Oct. 2026, doi: 10.47000/tjmcs.1674989.

ISNAD

Aydın, Mustafa. “Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations”. Turkish Journal of Mathematics and Computer Science 18/3 (October 1, 2026): 848-862. https://doi.org/10.47000/tjmcs.1674989.

JAMA

1.Aydın M. Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations. TJMCS. 2026;18:848–862.

MLA

Aydın, Mustafa. “Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 3, Oct. 2026, pp. 848-62, doi:10.47000/tjmcs.1674989.

Vancouver

1.Mustafa Aydın. Existence and Stability Results for Boundary Value Problems of Two-Point Tempered Fractional Difference Equations. TJMCS. 2026 Oct. 1;18(3):848-62. doi:10.47000/tjmcs.1674989