LOVE DYNAMICAL MODEL WITH PERSPECTIVES OF PIECEWISE DIFFERENTIAL OPERATORS

This paper is devoted to investigating a dynamical system which demonstrates the behavior of love model. For the presented work, a new idea combining piecewise concepts for integer-order, stochastic, and fractional derivatives has been used to capture the chaos and several crossover emotional scenarios. The assumptions of linear growth and the Lipschitz condition together with fixed-point theorem were used to deduce the conditions for the uniqueness and existence of solutions to the proposed model. The piecewise derivatives were approximated by utilizing the Newton interpolation method. We have demonstrated the results obtained numerically for several values of fractional order [Formula: see text] graphically. It was observed that the recently presented new idea in love dynamical model can represent disordered emotional patterns in passionate loving partnerships.