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The second kind Chebyshev wavelet method for solving fractional differential equations. (English) Zbl 1245.65090
Summary: The second kind Chebyshev wavelet method is presented for solving linear and nonlinear fractional differential equations. We first construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional order integration. The operational matrix of fractional order integration is utilized to reduce the fractional differential equations to system of algebraic equations. In addition, illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method.

65L05Initial value problems for ODE (numerical methods)
34A08Fractional differential equations
65T60Wavelets (numerical methods)
Full Text: DOI
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