A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order

@article{Doha2011ACS,
  title={A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order},
  author={Eid H. Doha and Ali H. Bhrawy and Samer S. Ezz-Eldien},
  journal={Computers & Mathematics with Applications},
  year={2011},
  volume={62},
  pages={2364-2373}
}
We are concerned with linear and nonlinear multi-term fractional differential equations (FDEs). The shifted Chebyshev operationalmatrix (COM) of fractional derivatives is derived and used together with spectral methods for solving FDEs. Our approach was based on the shifted Chebyshev tau and collocation methods. The proposed algorithms are applied to solve two types of FDEs, linear and nonlinear, subject to initial or boundary conditions, and the exact solutions are obtained for some tested… CONTINUE READING
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A new operational matrix for solving fractional-order differential equations

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