TY  - JOUR
T1  - Exact Solutions for Space-time Fractional Peyrard-Bishop-Dauxois Model of DNA Dynamics by Using the Unified Method
AU  - Ekici, Mustafa
AU  - Akgönüllü Pirim, Nilay
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.47000/tjmcs.1636247
JF  - Turkish Journal of Mathematics and Computer Science
JO  - TJMCS
PB  - Matematikçiler Derneği
WT  - DergiPark
SN  - 2148-1830
SP  - 136
EP  - 144
VL  - 17
IS  - 1
LA  - en
AB  - In this study, we investigated the space-time fractional order Peyrard–Bishop–Dauxois model using the unified method to derive exact analytical traveling wave solutions. By incorporating fractional derivatives, the model effectively captures memory effects and nonlocal interactions intrinsic to DNA dynamics, providing a refinedrepresentation of processes such as DNA denaturation. Notably, our analysis led to the discovery of soliton solutions, along with novel hyperbolic, trigonometric, and rational forms. These results not only deepen our understanding of the complex nonlinear behavior inherent in biological systems but also underscore the robustness and versatility of the unified method in addressing intricate fractional differential equations. The findings of this study provide a foundation for the further refinement of mathematical models and the exploration of more sophisticated fractional dynamics in molecular biology.
KW  - The unified method
KW  - the Peyrard–Bishop–Dauxois model
KW  - β−fractional derivative.
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UR  - https://doi.org/10.47000/tjmcs.1636247
L1  - https://dergipark.org.tr/en/download/article-file/4593556
ER  -