On shifted Jacobi spectral approximations for solving fractional differential equations

• Published in: Applied mathematics and computation Vol. 219; no. 15; pp. 8042 - 8056
• Main Authors: Doha, E.H., Bhrawy, A.H., Baleanu, D., Ezz-Eldien, S.S.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2013
• Subjects: Approximation; Caputo derivative; Derivatives; Differential equations; Initial value problems; Jacobi–Gauss–Lobatto quadrature; Mathematical analysis; Mathematical models; Multi-term fractional differential equations; Nonlinear fractional initial value problems; Nonlinearity; Shifted Jacobi polynomials; Spectra; Spectral methods; Multi-term fractional differential equations; Shifted Jacobi polynomials; Jacobi–Gauss–Lobatto quadrature; Caputo derivative; Spectral methods; Nonlinear fractional initial value problems

► A new formula of fractional-order derivatives of shifted Jacobi polynomials is proved. ► A Jacobi spectral tau approximation for solving linear FDEs with constant coefficients is proposed. ► A quadrature tau approximation is shown for linear FDEs with variable coefficients. ► A Jacobi collocation...