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Analytical approximate solutions for quadratic Riccati differential equation of fractional order using the Polynomial Least Squares Method

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  • Bota, Constantin
  • Căruntu, Bogdan

Abstract

In this paper the Polynomial Least Squares Method is applied in order to compute analytical approximate polynomial solutions for the fractional Riccati type differential equations. The accuracy of the method is tested by means of the comparison with previous results for several applications.

Suggested Citation

  • Bota, Constantin & Căruntu, Bogdan, 2017. "Analytical approximate solutions for quadratic Riccati differential equation of fractional order using the Polynomial Least Squares Method," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 339-345.
    • Handle: RePEc:eee:chsofr:v:102:y:2017:i:c:p:339-345
    DOI: 10.1016/j.chaos.2017.05.002
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    References listed on IDEAS

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    1. Cang, Jie & Tan, Yue & Xu, Hang & Liao, Shi-Jun, 2009. "Series solutions of non-linear Riccati differential equations with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 1-9.
    2. Odibat, Zaid & Momani, Shaher, 2008. "Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 167-174.
    3. Kashkari, Bothayna S.H. & Syam, Muhammed I., 2016. "Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 281-291.
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    2. Fathy, Mohamed & Abdelgaber, K.M., 2022. "Approximate solutions for the fractional order quadratic Riccati and Bagley-Torvik differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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