On spectral methods for solving variable-order fractional integro-differential equations

Doha E., Abdelkawy M., Amin A. Z. M. A., Lopes A. M.

Computational and Applied Mathematics, cilt.37, sa.3, ss.3937-3950, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s40314-017-0551-9
  • Dergi Adı: Computational and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3937-3950
  • Anahtar Kelimeler: Fractional calculus, Shifted Jacobi–Gauss-quadrature, Spectral collocation method, Variable-order fractional operator
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

This paper applies the shifted Jacobi–Gauss collocation (SJ–G-C) method for solving variable-order fractional integro-differential equations (VO-FIDE) with initial conditions. The Riemann–Liouville fractional derivative, Dν(x), and integral, Iν(x), of variable order are combined, and the SJ–G-C applied to produce a system of algebraic equations. Numerical experiments demonstrate the applicability and reliability of the algorithm when compared with current methods.