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

Rajarama Mohan Jena, Snehashish Chakraverty and Dumitru Baleanu
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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

Mathematics, 2019, vol. 7, issue 8, 1-16

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.

Keywords: fractional calculus; triangular fuzzy number; double-parametric form; FRDTM; fractional dynamical model of marriage (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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