Legendre Wavelets for Solving Fractional Differential Equations

@inproceedings{Jafari2011LegendreWF,
  title={Legendre Wavelets for Solving Fractional Differential Equations},
  author={Hossein Jafari and M. Soleymanivaraki and M. A. Firoozjaee},
  year={2011}
}
In this paper, we develop a framework to obtain approximate numerical solutions to ordinary differential equations (ODEs) involving fractional order derivatives using Legendre wavelets approximations. The continues Legendre wavelets constructed on [0, 1] are utilized as a basis in collocation method. Illustrative examples are included to demonstrate the validity and applicability of the technique.