Non-linear system of multi-order fractional differential equations: theoretical analysis and a robust fractional Galerkin implementation

DOI10.1007/S10915-022-01814-XzbMath1492.65190OpenAlexW4220759792WikidataQ115382652 ScholiaQ115382652MaRDI QIDQ2144972

A. Faghih, Payam Mokhtary

Publication date: 17 June 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-01814-x

zbMATH Keywords

convergence analysiswell-posednessspectral Galerkin methodfractional Jacobi functions (FJFs)non-linear systems of multi-order fractional differential equations (SMFDEs)

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80) Fractional ordinary differential equations (34A08)

Related Items (2)

A spectral approach to non-linear weakly singular fractional integro-differential equations ⋮ Numerical solution for arbitrary domain of fractional integro-differential equation via the general shifted Genocchi polynomials

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