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On the Fractional View Analysis of Keller-Segel Equations with Sensitivity Functions

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dc.contributor.author Liu, Haobin
dc.contributor.author Khan, Hassan
dc.contributor.author Shah, Rasool
dc.contributor.author Alderremy, A. A.
dc.contributor.author Aly, Shaban
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-12-31T11:28:09Z
dc.date.available 2020-12-31T11:28:09Z
dc.date.issued 2020-07-28
dc.identifier.citation Liu, Haobin...et al. (2020). "On the Fractional View Analysis of Keller-Segel Equations with Sensitivity Functions", Complexity, Vol. 2020. tr_TR
dc.identifier.issn 1076-2787
dc.identifier.issn 1099-0526
dc.identifier.uri http://hdl.handle.net/20.500.12416/4409
dc.description.abstract In this paper, the fractional view analysis of the Keller-Segal equations with sensitivity functions is presented. The Caputo operator has been used to pursue the present research work. The natural transform is combined with the homotopy perturbation method, and a new scheme for implementation is derived. The modified established method is named as the homotopy perturbation transform technique. The derived results are compared with the solution of the Laplace Adomian decomposition technique by using the systems of fractional Keller-Segal equations. The solution graphs and the table have shown that the obtained results coincide with the solution of the Laplace Adomian decomposition method. Fractional-order solutions are determined to confirm the reliability of the current method. It is observed that the solutions at various fractional orders are convergent to an integer-order solution of the problems. The suggested procedure is very attractive and straight forward and therefore can be modified to solve high nonlinear fractional partial differential equations and their systems. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1155/2020/2371019 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Differential Transform Method tr_TR
dc.subject Model tr_TR
dc.subject Systems tr_TR
dc.subject Family tr_TR
dc.title On the Fractional View Analysis of Keller-Segel Equations with Sensitivity Functions tr_TR
dc.type article tr_TR
dc.relation.journal Complexity tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2020 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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