A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems

作者：Graef, John R.^*; Kong, Lingju; Wang, Min

来源：Applied Mathematics and Computation, 2014, 241: 140-150.

DOI：10.1016/j.amc.2014.05.012

• Chebyshev polynomials
• Collocation method
• Riemann-Liouville fractional calculus
• Boundary value problems

The authors derive a series of explicit formulas to approximate the Riemann-Liouville derivative and integral of arbitrary order by shifted Chebyshev polynomials. This is then applied to solve boundary value problems involving Riemann-Liouville derivatives.

• 出版日期2014-8-15