On spectral methods for solving variable-order fractional integro-differential equations
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Publication:1993665
DOI10.1007/s40314-017-0551-9zbMath1404.65192OpenAlexW2779633998MaRDI QIDQ1993665
Mohamed A. Abdelkawy, António M. Lopes, Eid H. Doha, Ahmed Z. M. Amin
Publication date: 5 November 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-017-0551-9
fractional calculusspectral collocation methodvariable-order fractional operatorshifted Jacobi-Gauss-quadrature
Numerical computation of solutions to systems of equations (65H10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical interpolation (65D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
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