Monitoring Dynamical Behavior and Optical Solutions of SpaceTime Fractional Order Double-Chain Deoxyribonucleic Acid Model Considering the Atangana's Conformable Derivative

被引:7
作者
Mabrouk, Samah M. [1 ]
Wazwaz, Abdul-Majid [2 ]
Rashed, Ahmed S. [1 ,3 ]
机构
[1] Zagazig Univ, Fac Engn, Dept Phys & Engn Math, Zagazig 44519, Egypt
[2] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
[3] Delta Univ Sci & Technol, Fac Engn, Dept Basic Sci, Gamasa 11152, Egypt
来源
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS | 2024年 / 10卷 / 02期
关键词
Fractional Calculus; Deoxyribonucleic acid system; Conformable sub-equation method; Atangana's conformable derivative; SINE-COSINE METHODS; NONLINEAR EVOLUTION-EQUATIONS; WAVE SOLUTIONS; HIDDEN SYMMETRIES; N-SOLITONS; TANH-COTH;
D O I
10.22055/jacm.2024.45462.4371
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
DNA, or deoxyribonucleic acid, is found in every single cell and is the cell's primary information storage medium. DNA stores all an organism's genetic information, including the instructions it needs to grow, divide, and live. DNA is made up of four different building blocks called nucleotide bases: adenine (A), thymine (T), cytosine (C), and guanine (G). The genome is sequenced in vitro utilizing encoding strategies such as labelling one bond pair as 0 and the other as 1 to store digital information. In this study, the fractional differential order of double -chain DNA dynamical system was investigated, considering Atangana's conformable fractional derivative. The conformable sub -equation method was applied to the system. The analysis resulted in some interesting new exact solutions of the model. One-soliton kink solution, multiple-soliton solutions, and periodic -wave solutions are the three broad categories that may be used to describe the results. In order to better understanding the solutions found, we have visually investigated a few of them. Both solitary and anti -solitary waves of the DNA strands are seen, attesting to the nonlinear dynamics of the system. The gathered data might be used to conduct application evaluations and draw further scientific findings.
引用
收藏
页码:383 / 391
页数:9
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