Exact Solutions of Time-Fractional Thin-Film Ferroelectric Material Equation with Conformable Fractional Derivative

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dc.authoridEkici, Mustafa / 0000-0003-2494-8229
dc.contributor.authorEkici, Mustafa
dc.date.accessioned2025-05-29T02:50:30Z
dc.date.available2025-05-29T02:50:30Z
dc.date.issued2025
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.descriptionThis work is licensed (CC BY-NC 4.0) under Creative Commons Attribution 4.0 International License.
dc.description.abstractThis study employs the unified method, a powerful approach, to address the intricate challenges posed by fractional differential equations in mathematical physics. The principal objective of this study is to derive novel exact solutions for the time-fractional thin-film ferroelectric material equation. Fractional derivatives in this study are defined using the conformable fractional derivative, ensuring a robust mathematical foundation. Through the unified method, we derive solitary wave solutions for the governing equation, which models wave dynamics in these materials and holds significance in various fields of physics and hydrodynamics. The behavior of these solutions is analyzed using the conformable derivative, shedding light on their dynamic properties. Analytical solutions, formulated in hyperbolic, periodic, and trigonometric forms, illustrating the impact of fractional derivatives on these physical phenomena. This paper highlights the capability of the unified method in tackling complex issues associated with fractional differential equations, expanding both mathematical techniques and our understanding of nonlinear physical phenomena.
dc.identifier.doi10.34248/bsengineering.1575776
dc.identifier.endpage184
dc.identifier.issn2619-8991
dc.identifier.issue1
dc.identifier.startpage179
dc.identifier.trdizinid1295880
dc.identifier.urihttps://doi.org/10.34248/bsengineering.1575776
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1295880
dc.identifier.urihttps://hdl.handle.net/20.500.12428/29858
dc.identifier.volume8
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorEkici, Mustafa
dc.language.isoen
dc.relation.ispartofBlack Sea Journal of Engineering and Science
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TR_20250529
dc.subjectConformable fractional derivative
dc.subjectThe unified method
dc.subjectThe thin-film ferroelectric material equation
dc.titleExact Solutions of Time-Fractional Thin-Film Ferroelectric Material Equation with Conformable Fractional Derivative
dc.typeArticle

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