Collocation Solution of Fractional Differential Equations in Piecewise Nonpolynomial Spaces

DOI10.1007/978-3-030-56323-3_36zbMath1454.65053OpenAlexW3093556794MaRDI QIDQ5132167

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Publication date: 9 November 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-56323-3_36

zbMATH Keywords

collocation methodfractional differential equationspiecewise nonpolynomial spaces

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Nonpolynomial collocation approximation of solutions to fractional differential equations
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels
• Fractional differentiation matrices with applications
• Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

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