Numerical solutions of the Bagley-Torvik equation by using generalized functions with fractional powers of Laguerre polynomials

DOI10.1515/ijnsns-2021-0120OpenAlexW4225302907MaRDI QIDQ6173135

Gamze Yıldırım, Şuayip Yüzbaşı

Publication date: 21 July 2023

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2021-0120

zbMATH Keywords

collocation methodLaguerre polynomialsfractional differential equationsCaputo fractional derivativeBagley-Torvik equationinitial-boundary conditions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80) Linear boundary value problems for ordinary differential equations (34B05) Functional-differential equations with fractional derivatives (34K37) Error analysis and interval analysis (65G99)

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