Novel Wavelet Approach for Solving Fractional Bagley-Torvik Problems
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Authors: M. A. BAYRAK, S. ERMAN, A. DEMIR AND A. BüYüK
DOI: 10.46793/KgJMat2605.745B
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.
Keywords:
Fractional differential equation, Wavelet methods, Bagley-Torvik equation, Clique polynomials.
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