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DYNAMICS OF LOVE AFFAIR OF ROMEO AND JULIET THROUGH MODERN MATHEMATICAL TOOLS: A CRITICAL ANALYSIS VIA FRACTAL-FRACTIONAL DIFFERENTIAL OPERATOR
Fractals ( IF 4.7 ) Pub Date : 2022-08-04 , DOI: 10.1142/s0218348x22401673
ZUBAIR AHMAD 1 , FARHAD ALI 1 , MUQRIN A. ALMUQRIN 2 , SAQIB MURTAZA 1 , FAIZA HASIN 1 , NAVEED KHAN 1 , ATA UR RAHMAN 1 , ILYAS KHAN 3
Affiliation  

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.



中文翻译:

罗密欧与朱丽叶的爱情动态通过现代数学工具:通过分形-分数微分算子的批判性分析

据说爱同时是纯洁的、可怕的、甜蜜的和可怕的。爱,其实是每个人生活中的基本要求。为了过上正常健康的生活,每个人都需要爱。爱包含了广泛的情感、情感和态度。对一些人来说,爱不仅仅需要身体上的吸引;它还包括情感纽带。然而,人们普遍认为“数学是上帝书写宇宙的语言”,每一种现象都转化为数学方程就证明了这一点。在此基础上,本研究旨在通过数学工具表达罗密欧与朱丽叶之间的感情。罗密欧与朱丽叶之间的爱情表现为 ODE 的耦合系统。具有 Mittag-Leffler 函数的分形分数微分算子进一步推广了经典微分方程。对所考虑的问题进行了一些理论分析。在MATLAB软件的帮助下,通过数值方案获得图形解。分数阶参数和分形维数参数的影响显示在两个人的感受上。此外,还详细展示和讨论了各种物理参数对罗密欧与朱丽叶爱恨情仇的影响。作为对最敏感参数的关注,据观察,在两个人之间花钱或存钱都有能力将爱变成恨,反之亦然。分数阶参数和分形维数参数的影响显示在两个人的感受上。此外,还详细展示和讨论了各种物理参数对罗密欧与朱丽叶爱恨情仇的影响。作为对最敏感参数的关注,据观察,在两个人之间花钱或存钱都有能力将爱变成恨,反之亦然。分数阶参数和分形维数参数的影响显示在两个人的感受上。此外,还详细展示和讨论了各种物理参数对罗密欧与朱丽叶爱恨情仇的影响。作为对最敏感参数的关注,据观察,在两个人之间花钱或存钱都有能力将爱变成恨,反之亦然。

更新日期:2022-08-04
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