Work

Love Dynamical Model With Perspectives of Piecewise Differential Operators

Year: 2025

Type: article

Abstract: 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.

Source: Fractals

DOI: 10.1142/s0218348x25402509

Authors: ATUL KUMAR, HAMBEER SINGH, SADIQUE AHMAD, ALA SALEH ALLUHAIDAN

Institutions: Dayalbagh Educational Institute, Prince Sultan University, Princess Nourah bint Abdulrahman University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4414013337

FWCI:

Cites: 22

Cited by:

Related to: 10