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A unifying computational framework for fractional Gross-Pitaevskii equations

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dc.contributor.author Veeresha, P.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-09T11:20:14Z
dc.date.available 2022-03-09T11:20:14Z
dc.date.issued 2021-12
dc.identifier.citation Veeresha, P.; Baleanu, Dumitru (2021). "A unifying computational framework for fractional Gross-Pitaevskii equations", Physica Scripta, Vol. 96, No. 12. tr_TR
dc.identifier.issn 0281-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/5094
dc.description.abstract This paper concerns investigating the complex behaviour of the special case of Schrodinger equation called Gross-Pitaevskii (GP) equations using q-homotopy analysis transform method (q-HATM) with fractional order. Based on denticity function and different initial conditions, we consider three different examples to demonstrate the proficiency of q-HATM. We consider different initial conditions for the hired system and the projected method is elegant unification of q-homotopy analysis algorithm and Laplace transform. Further, the physical natures of the achieved results have been captured for change in space, time, homotopy parameter and fractional order in terms of contour and surface plots, and the accuracy is presented with the numerical study. The obtained results conclude that, the hired technique is highly methodical, easy to implement and accurate to examine the behaviour of the nonlinear equations of both fractional and integer order describing allied areas of science. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1088/1402-4896/ac28c9 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Gross-Pitaevskii Equations tr_TR
dc.subject Q-Homotopy Analysis Method tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Laplace Transform tr_TR
dc.title A unifying computational framework for fractional Gross-Pitaevskii equations tr_TR
dc.type article tr_TR
dc.relation.journal Physica Scripta tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 96 tr_TR
dc.identifier.issue 12 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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