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Application of Said Ball Curve for Solving Fractional Differential-Algebraic Equations

Author

Listed:
  • Fateme Ghomanjani

    (Department of Mathematics, Kashmar Higher Education Institute, Kashmar 96719-89851, Iran)

  • Samad Noeiaghdam

    (Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, 454080 Chelyabinsk, Russia)

Abstract

The aim of this paper is to apply the Said Ball curve (SBC) to find the approximate solution of fractional differential-algebraic equations (FDAEs). This method can be applied to solve various types of fractional order differential equations. Convergence theorem of the method is proved. Some examples are presented to show the efficiency and accuracy of the method. Based on the obtained results, the SBC is more accurate than the Bezier curve method.

Suggested Citation

  • Fateme Ghomanjani & Samad Noeiaghdam, 2021. "Application of Said Ball Curve for Solving Fractional Differential-Algebraic Equations," Mathematics, MDPI, vol. 9(16), pages 1-10, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1926-:d:613420
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    References listed on IDEAS

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    1. Shiri, B. & Baleanu, D., 2019. "System of fractional differential algebraic equations with applications," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 203-212.
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    Cited by:

    1. Jiaoyue Zheng & Xiaomin Ji & Zhaozhao Ma & Gang Hu, 2023. "Construction of Local-Shape-Controlled Quartic Generalized Said-Ball Model," Mathematics, MDPI, vol. 11(10), pages 1-21, May.

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