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A Numerical Scheme For A Class Of Nonlinear Multi-Order Fractional Differential Equations

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  • HOSSEIN JAFARI

    (Institute of Research and Development, Duy Tan University, Da Nang, Vietnam†School of Engineering & Technology, Duy Tan University, Da Nang, Vietnam‡Department of Mathematical Sciences, University of South Africa UNISA0003, South Africa§Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110112, Taiwan)

  • SAHA SALATI

    (�Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran)

  • MASHALLAH MATINFAR

    (�Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran)

  • VAN THINH NGUYEN

    (��Department of Civil and Environmental Engineering, Seoul National University, Seoul, South Korea)

Abstract

In this paper, we obtain a numerical solution for a class of nonlinear multi-order fractional differential equations by using operational matrices. The fractional derivative is the Caputo derivative and operational matrices is calculated by using the Hosoya polynomials of simple paths. By using the operational matrices, we reduce the governing problem to a system of nonlinear algebraic equations. We present a few numerical examples which shown the performance and precision of the proposed technique.

Suggested Citation

  • Hossein Jafari & Saha Salati & Mashallah Matinfar & Van Thinh Nguyen, 2025. "A Numerical Scheme For A Class Of Nonlinear Multi-Order Fractional Differential Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:06:n:s0218348x25401322
    DOI: 10.1142/S0218348X25401322
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