DYNAMICS OF LOVE AFFAIR OF ROMEO AND JULIET THROUGH MODERN MATHEMATICAL TOOLS: A CRITICAL ANALYSIS VIA FRACTAL-FRACTIONAL DIFFERENTIAL OPERATOR

Zubair Ahmad, Farhad Ali, Muqrin A. Almuqrin, Saqib Murtaza, Faiza Hasin, Naveed Khan, Ata Ur Rahman and Ilyas Khan
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Zubair Ahmad: Department of Mathematics, City University of Science and Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
Farhad Ali: Department of Mathematics, City University of Science and Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
Muqrin A. Almuqrin: ��Department of Mathematics, Faculty of Science in Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia
Saqib Murtaza: Department of Mathematics, City University of Science and Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
Faiza Hasin: Department of Mathematics, City University of Science and Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
Naveed Khan: Department of Mathematics, City University of Science and Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
Ata Ur Rahman: Department of Mathematics, City University of Science and Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
Ilyas Khan: ��Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-13

Abstract: Love is said to be pure, terrible, sweet, and horrible all at the same time. Love is, in fact, a basic requirement in everyone’s life. To live a normal and healthy life, everyone requires love. Love encompasses a wide range of emotions, sentiments, and attitudes. For some, love entails more than a physical attraction; it also includes an emotional bond. However, it is commonly believed that “Mathematics is the language in which God has written the universe†, as evidenced by the transformation of every phenomenon into mathematical equations. On this basis, this study aims to express the feelings among Romeo and Juliet via mathematical tools. The love among Romeo and Juliet is shown as a coupled system of ODEs. The fractal fractional differential operator with the Mittag-Leffler function further generalizes the classical differential equations. Some theoretical analysis has been done for the considered problem. The graphical solution is obtained through a numerical scheme with the help of MATLAB software. The impact of the fractional-order parameter and fractal dimension parameter is shown on the feelings of both individuals. Furthermore, the impact of various physical parameters on the love or hate of Romeo and Juliet is displayed and discussed in detail. As a concern to the most sensitive parameter, it is observed that spending or saving money among both individuals has the ability to tend love into hate and vice versa.

Keywords: Love Affair; Romeo and Juliet; Fractal-Fractional Derivative; Mittag-Leffler Function; Numerical Solution (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401673

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