Piecewise polynomial least squares method for differential equations of fractional order

DOI10.2478/awutm-2023-0006zbMath1524.34042OpenAlexW4382765867MaRDI QIDQ6097580

Mădălina Sofia Paşca

Publication date: 6 June 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/awutm-2023-0006

zbMATH Keywords

differential equations of fractional orderapproximate analytical solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Approximations and expansions (41A99) Fractional ordinary differential equations (34A08)

Cites Work

• Analytical approximate solutions for quadratic Riccati differential equation of fractional order using the polynomial least squares method
• Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations
• Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients
• Variational iteration method as a kernel constructive technique
• Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation
• Application of variational iteration method to a general Riccati equation

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