Fractional order model for complex Layla and Majnun love story with chaotic behaviour

Alexandria Engineering Journal

Aqeel Ahmad¹  Ali Akgül²  Muhammad Farman³  Saud Fahad Aldosary⁴  Kottakkaran Sooppy Nisar⁴ 

[1] Corresponding author.;Art and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt, Turkey;Department of Mathematics and statistics, University of Lahore, Lahore 54590, Pakistan;Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia;

关键词: Stability;    Uniqueness;    Layla-Majnun;    Fractional Operator;    Chaotic behavior;   

DOI  :  

来源: DOAJ

【 摘 要 】

The main purpose of the present paper is to develop and analyze fractional order dynamical model describing the change in behavior exhibited by a couple in a passionate relationship of love. Model is treated with advanced fractional operators like Atangana-Baleanu Caputo sense, Atanagana-Toufik scheme, and fractal fractional for dynamical behavior of real love story. Its ability is to show constantly changed chaotic behavior of two individuals in the relationship, the model was previously expressed in love triangles. The System is analyzed by using the fixed point theory technique, the existence and uniqueness of system are proved as well as analyzed qualitatively. Also verify the local and global stability of the fractional order system. Numerical simulations are made with the Atanagana-Toufik scheme and fractal fractional operator to measure the emotions and love relationships between two peoples. Advanced approach of such applications opens the path to foresee the love relation after observing the human personality.

【 授权许可】

Unknown