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Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations

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dc.contributor.author Javeed, Shumaila
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Waheed, Asif
dc.contributor.author Khan, Mansoor Shaukat
dc.contributor.author Affan, Hira
dc.date.accessioned 2020-01-29T12:07:38Z
dc.date.available 2020-01-29T12:07:38Z
dc.date.issued 2019-01
dc.identifier.citation Javeed, Shumaila...et al. (2019). "Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations", Mathematics, Vol. 7, No. 1. tr_TR
dc.identifier.issn 2227-7390
dc.identifier.uri http://hdl.handle.net/20.500.12416/2376
dc.description.abstract The analysis of Homotopy PerturbationMethod (HPM) for the solution of fractional partial differential equations (FPDEs) is presented. A unified convergence theorem is given. In order to validate the theory, the solution of fractional-order Burger-Poisson (FBP) equation is obtained. Furthermore, this work presents the method to find the solution of FPDEs, while the same partial differential equation (PDE) with ordinary derivative i.e., for alpha = 1, is not defined in the given domain. Moreover, HPM is applied to a complicated obstacle boundary value problem (BVP) of fractional order. tr_TR
dc.language.iso eng tr_TR
dc.publisher MDPI tr_TR
dc.relation.isversionof 10.3390/math7010040 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Burger-Poisson Equation of Fractional Order tr_TR
dc.subject HPM tr_TR
dc.subject Fractional Derivatives tr_TR
dc.title Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations tr_TR
dc.type article tr_TR
dc.relation.journal Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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