Abstract
In this paper, new numerical method based on Chebyshev wavelet operational matrix of fractional derivative is presented. The known Chebyshev Wavelets is presented first. Then, we derived the operational matrix of fractional order derivative (OMOFOD), through wavelet transformation matrix which was utilized together with spectral and collocation methods to reduce the linear and nonlinear fractional differential equations (FDEs) to a system of algebraic equations respectively. Our results in solving different linear and nonlinear FDEs confirm the applicability and accuracy of the proposed method.
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Acknowledgments
This work was supported in part by FRGS Grant Vot 1433. We also thank UTHM for financial support through GIPS U060.
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Isah, A., Chang, P. (2017). Chebyshev Wavelet Operational Matrix of Fractional Derivative Through Wavelet-Polynomial Transformation and Its Applications on Fractional Order Differential Equations. In: Ahmad, AR., Kor, L., Ahmad, I., Idrus, Z. (eds) Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015). Springer, Singapore. https://doi.org/10.1007/978-981-10-2772-7_22
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DOI: https://doi.org/10.1007/978-981-10-2772-7_22
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