Exact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics

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dc.authoridEKICI, MUSTAFA/0000-0003-2494-8229
dc.contributor.authorEkici, Mustafa
dc.date.accessioned2025-01-27T20:49:54Z
dc.date.available2025-01-27T20:49:54Z
dc.date.issued2023
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this study, we utilize the potent generalized Kudryashov method to address the intricate obstacles presented by fractional differential equations in the field of mathematical physics. Specifically, our focus centers on obtaining novel exact solutions for three pivotal equations: the time-fractional seventh-order Sawada-Kotera-Ito equation, the time-fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation, and the time-fractional seventh-order Kaup-Kupershmidt equation. The generalized Kudryashov method, celebrated for its versatility and efficacy in addressing intricate nonlinear problems, plays a central role in our research. This method not only simplifies the equations but also unveils their inner dynamics, rendering them amenable to meticulous analysis. It is worth noting that our fractional derivatives are defined in the context of the conformable fractional derivative, providing a solid foundation for our mathematical investigations. One notable aspect of our study is the visual representation of our findings. Graphical representations of the yielded solutions enliven intricate mathematical structures, providing a concrete insight into the dynamics and behaviors of said equations. This paper highlights the proficiency of the generalized Kudryashov method in resolving complex issues presented by fractional differential equations. Our study not only broadens the range of mathematical methods but also enhances our comprehension of the intriguing realm of nonlinear physical phenomena.
dc.identifier.doi10.3390/sym15101961
dc.identifier.issn2073-8994
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85175467593
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym15101961
dc.identifier.urihttps://hdl.handle.net/20.500.12428/25354
dc.identifier.volume15
dc.identifier.wosWOS:001095179500001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20250125
dc.subjectconformable fractional derivative
dc.subjecttime-fractional seventh-order Sawada-Kotera-Ito equation
dc.subjecttime-fractional Caudrey-Dodd-Gibbon-Sawada-Kotera
dc.subjecttime-fractional seventh-order Kaup-Kupershmidt equation
dc.titleExact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics
dc.typeArticle

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