Analytical study of fractional DNA dynamics in the Peyrard-Bishop oscillator-chain model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255204" target="_blank" >RIV/61989100:27740/24:10255204 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2090447924002399?via%3Dihub#ab0010" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2090447924002399?via%3Dihub#ab0010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.asej.2024.102864" target="_blank" >10.1016/j.asej.2024.102864</a>
Alternative languages
Result language
angličtina
Original language name
Analytical study of fractional DNA dynamics in the Peyrard-Bishop oscillator-chain model
Original language description
In this research, we present a new auxiliary equation approach, which uses two distinct fractional derivatives: /3- and M-truncated fractional derivatives to explore the space-time fractional Peyrard-Bishop DNA dynamic model equation. This examines the nonlinear interplay between neighboring displacements and hydrogen bonds through mathematical modeling of DNA vibration dynamics. The solutions are tasked with examining the nonlinear interaction among neighboring displacements of the DNA strand. The generated solutions exhibit various wave patterns under varying fractional values and parametric conditions: w-shape, bright, combined periodic wave solutions, dark-bright, bell shaped, m-shaped, w-shaped with two bright solutions, and m-shape with two dark solutions. Graphical representations provide a complete analysis of these physical features. The results demonstrate the successful implementation of the proposed approach, which will be advantageous for locating analytical remedies to more nonlinear challenges.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
21100 - Other engineering and technologies
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Ain Shams Engineering Journal
ISSN
2090-4479
e-ISSN
2090-4495
Volume of the periodical
15
Issue of the periodical within the volume
8
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
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UT code for WoS article
001274164000001
EID of the result in the Scopus database
2-s2.0-85194392503