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A new analytical method to simulate the mutual impact of space-time memory indices embedded in (1+2)-physical models

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dc.contributor.author Makhadmih, M
dc.contributor.author Jaradat, I
dc.contributor.author Alquran, Marwan
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-02-09T11:41:03Z
dc.date.available 2024-02-09T11:41:03Z
dc.date.issued 2022-10-10
dc.identifier.citation Makhadmih, M.;...et.al. (2022). "A new analytical method to simulate the mutual impact of space-time memory indices embedded in (1+2)-physical models", Nonlinear Engineering, Vol.11, No.1, pp.522-538. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/7145
dc.description.abstract In the present article, we geometrically and analytically examine the mutual impact of space-time Caputo derivatives embedded in (1 + 2)-physical models. This has been accomplished by integrating the residual power series method (RPSM) with a new trivariate fractional power series representation that encompasses spatial and temporal Caputo derivative parameters. Theoretically, some results regarding the convergence and the error for the proposed adaptation have been established by virtue of the Riemann-Liouville fractional integral. Practically, the embedding of Schrodinger, telegraph, and Burgers' equations into higher fractional space has been considered, and their solutions furnished by means of a rapidly convergent series that has ultimately a closed-form fractional function. The graphical analysis of the obtained solutions has shown that the solutions possess a homotopy mapping characteristic, in a topological sense, to reach the integer case solution where the Caputo derivative parameters behave similarly to the homotopy parameters. Altogether, the proposed technique exhibits a high accuracy and high rate of convergence. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1515/nleng-2022-0244 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Time-Space Partial Differential Equations tr_TR
dc.subject Fractional RPSM tr_TR
dc.title A new analytical method to simulate the mutual impact of space-time memory indices embedded in (1+2)-physical models tr_TR
dc.type article tr_TR
dc.relation.journal Nonlinear Engineering tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 11 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 522 tr_TR
dc.identifier.endpage 538 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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