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On the Solution of an Imprecisely Defined Nonlinear Time-Fractional Dynamical Model of Marriage

Author

Listed:
  • Rajarama Mohan Jena

    (Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, India)

  • Snehashish Chakraverty

    (Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, India)

  • Dumitru Baleanu

    (Department of Mathematics, Faculty of Art and Sciences, Cankaya University, Balgat, Ankara 06530, Turkey
    Institute of Space Sciences, 077125 Magurele-Bucharest, Romania)

Abstract

The present paper investigates the numerical solution of an imprecisely defined nonlinear coupled time-fractional dynamical model of marriage (FDMM). Uncertainties are assumed to exist in the dynamical system parameters, as well as in the initial conditions that are formulated by triangular normalized fuzzy sets. The corresponding fractional dynamical system has first been converted to an interval-based fuzzy nonlinear coupled system with the help of a single-parametric gamma-cut form. Further, the double-parametric form (DPF) of fuzzy numbers has been used to handle the uncertainty. The fractional reduced differential transform method (FRDTM) has been applied to this transformed DPF system for obtaining the approximate solution of the FDMM. Validation of this method was ensured by comparing it with other methods taking the gamma-cut as being equal to one.

Suggested Citation

  • Rajarama Mohan Jena & Snehashish Chakraverty & Dumitru Baleanu, 2019. "On the Solution of an Imprecisely Defined Nonlinear Time-Fractional Dynamical Model of Marriage," Mathematics, MDPI, vol. 7(8), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:689-:d:253796
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    References listed on IDEAS

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    1. Teresa Martin & Larry Bumpass, 1989. "Recent trends in marital disruption," Demography, Springer;Population Association of America (PAA), vol. 26(1), pages 37-51, February.
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    Cited by:

    1. Joan Carles Ferrer-Comalat & Dolors Corominas-Coll & Salvador Linares-Mustarós, 2021. "A Fuzzy Economic Dynamic Model," Mathematics, MDPI, vol. 9(8), pages 1-15, April.

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