Approximate Solution of Nonlinear Time-Fractional Klein-Gordon Equations Using Yang Transform

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dc.authoridLiu, Jinxing/0000-0003-1071-2231
dc.authoridNadeem, Muhammad/0000-0002-9349-4729
dc.contributor.authorLiu, Jinxing
dc.contributor.authorNadeem, Muhammad
dc.contributor.authorHabib, Mustafa
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:45Z
dc.date.available2024-12-24T19:33:45Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe algebras of the symmetry operators for the Klein-Gordon equation are important for a charged test particle, moving in an external electromagnetic field in a space time manifold on the isotropic hydrosulphate. In this paper, we develop an analytical and numerical approach for providing the solution to a class of linear and nonlinear fractional Klein-Gordon equations arising in classical relativistic and quantum mechanics. We study the Yang homotopy perturbation transform method (YHPTM),which is associated with the Yang transform (YT) and the homotopy perturbation method (HPM), where the fractional derivative is taken in a Caputo-Fabrizio (CF) sense. This technique provides the solution very accurately and efficiently in the form of a series with easily computable coefficients. The behavior of the approximate series solution for different fractional-order p values has been shown graphically. Our numerical investigations indicate that YHPTM is a simple and powerful mathematical tool to deal with the complexity of such problems.
dc.description.sponsorshipFoundation of Yibin University, China [2019QD07]
dc.description.sponsorshipThis work was supported by the Foundation of Yibin University, China (Grant No. 2019QD07).
dc.identifier.doi10.3390/sym14050907
dc.identifier.issn2073-8994
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85132603615
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym14050907
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8277
dc.identifier.volume14
dc.identifier.wosWOS:000803383500001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfractional Klein-Gordon equation
dc.subjectYang transform
dc.subjecthomotopy perturbation method
dc.subjectseries solution
dc.titleApproximate Solution of Nonlinear Time-Fractional Klein-Gordon Equations Using Yang Transform
dc.typeArticle

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