Generalized fractional‐order Jacobi functions for solving a nonlinear systems of fractional partial differential equations numerically

DOI10.1002/MMA.4808zbMath1395.65148OpenAlexW2790290113MaRDI QIDQ4576951

F. Kamali, Habibollah Saeedi

Publication date: 11 July 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4808

zbMATH Keywords

collocation methodfractional calculusspectral methodgeneralized fractional-order Jacobi functionsnonlinear systems of fractional partial differential equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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