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Piecewise Polynomial Least Squares Method for Differential Equations of Fractional Order Cover

Piecewise Polynomial Least Squares Method for Differential Equations of Fractional Order

Open Access
|May 2023

References

  1. B. Batiha, M.S.M. Noorani, I. Hashim,Application of variational iteration method to a general Riccati equation, Int. Math. Forum 2 (56) (2007), 2759-2770.
  2. C. Bota, B. Caruntu, Analytical approximate solutions for quadratic Riccati differential equation of fractional order using the Polynomial Least Squares Method, Chaos, Solitons and Fractals 102 (2017), 339-345.
  3. B. Caruntu, C. Bota, M.S. Pasca, M. Lapadat, Approximate solutions for Riccati differential equation of fractional order using the Least Squares Differential Quadrature Method, Scientific Buletin of The Politehnica University of Timisoara 64 (78), Issue 2 (2019), 18-28.
  4. J. Liouville, Mémoire sur quelques questions de géométrie et de mécanique, et sur un nouveau genre de calcul pour résoudre ces questions, Journal de l’cole polytechnique 13 (21) (1832), 1-69.
  5. S. Mashayekhi , M. Razzaghi, Numerical solution of the fractional BagleyTorvik equation by using hybrid functions approximation, Math. Meth. Appl.Sci. 39 (2016), 353-365.
  6. K. Rabiei, M. Razzaghi, Fractional order Boubaker wavelets method for solving fractional Riccati differential equations, Applied Numerical Mathematics 168 (2021), 221-234.
  7. H. Singh, H.M. Srivastava, Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations withvariable coefficients, Physica A 523 (2019),1130-1149.
  8. G.C. Wu, D. Baleanu, Z.G. Deng, Variational iteration method as a kernel constructive technique, Applied Mathematical Modelling 39 (15) (2015), 4378-4384.
DOI: https://doi.org/10.2478/awutm-2023-0006 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 69 - 78
Published on: May 3, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2023 Mädälina Sofia Paşca, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.