Novel Wavelet Approach for Solving Fractional Bagley-Torvik Problems

The primary purpose of this study is to construct truncated solutions for fractional Bagley-Torvik problems (FBT) by developing a novel method including newly defined Clique wavelets and collocation points. Clique wavelets are defined by utilizing Clique polynomials on [0,1]. The convergence of this method is investigated and supported by illustrative examples through tables and figures. As a result, the efficiency and effectiveness of the method is proved by theorems and examples.

Authors

Publication Details

Journal
Kragujevac Journal of Mathematics
Published
2026-06-16
DOI
https://doi.org/10.46793/kgjmat2605.745b
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

Novel Wavelet Approach for Solving Fractional Bagley-Torvik Problems

Sertaç Erman, Ahmet Büyük, Mine Aylin Bayrak, Ali Demir
Kragujevac Journal of Mathematics
Fractional Differential Equations Solutions
article

Novel Wavelet Approach for Solving Fractional Bagley-Torvik Problems

Sertaç Erman, Ahmet Büyük, Mine Aylin Bayrak, Ali Demir
article en

Abstract

The primary purpose of this study is to construct truncated solutions for fractional Bagley-Torvik problems (FBT) by developing a novel method including newly defined Clique wavelets and collocation points. Clique wavelets are defined by utilizing Clique polynomials on [0,1]. The convergence of this method is investigated and supported by illustrative examples through tables and figures. As a result, the efficiency and effectiveness of the method is proved by theorems and examples.

Kragujevac Journal of MathematicsVol. 50(5)
Openalex Percentile: Top 32%
Fractional Differential Equations Solutions
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