Solving a nonlinear fractional differential equation using Chebyshev wavelets

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A CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR SOLVING FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS (2010, background): “Recently, several numerical methods to solve fractional differential equations (FDEs) and fractional integrodifferential equations (FIDEs) have been given ([2], [5], [7], [9]-[12], [15]-[23]).”
Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations (2014, methodology): “This example was first considered in [35] by using the modified homotopy perturbation method, it was also studied in [25] by applying the Chebyshev wavelet operational matrix of the fractional integration.”
GEGENBAUER WAVELETS OPERATIONAL MATRIX METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS (2015, methodology): “Similarly for λ = 0 and λ = 1, we obtain the Chebyshev wavelet of first [22] and second kind [36], respectively.”
New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations (2014, background): “It is worth noting here that ψ(1/2) nm (t) is identical to Legendre wavelets [25, 26], ψ(0) nm (t) is identical to first kind Chebyshev wavelets [27, 28], andψ((1)) nm (t) is identical to second kind Chebyshev wavelets [29, 30].”