ANALYSIS OF A NONLINEAR MODEL OF INTERPERSONAL RELATIONSHIPS WITH TIME FRACTIONAL DERIVATIVE
DOI:
https://doi.org/10.5281/brqcpq50Abstract
To model interpersonal relationships, we employed a local derivative with a fractional parameter. A derivation of special solutions for this new
model was achieved via an iterative method. The stability analysis of the used
iterative method was investigated using the fixed-point theorem. A detailed
analysis of uniqueness of the solutions was presented. Numerical simulations
to underpin the effectiveness of the used derivative and semi-analytical method
are presented
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Ilknur Koca, Department of Mathematics, Faculty of Sciences, Mehmet Akif Ersoy
University, 15100,Burdur, Turkey,
E-mail address: ikoca@mehmetakif.edu.tr
Abdon Atangana, Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300, Bloemfontein, South Africa,
E-mail address: abdonatangana@yahoo.fr
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