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

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.

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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2026-10-13
DOI
https://doi.org/10.47000/tjmcs.1674989
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

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

Mustafa Aydın
Turkish Journal of Mathematics and Computer Science
Nonlinear Differential Equations Analysis
article

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

Mustafa Aydın
article en

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.

Turkish Journal of Mathematics and Computer ScienceVol. 18(3)
Van Yüzüncü Yıl Üniversitesi (TR)
Openalex Percentile: Top 7%
Nonlinear Differential Equations Analysis
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