Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations

Javeed, Shumaila; Baleanu, Dumitru; Waheed, Asif; Khan, Mansoor Shaukat; Affan, Hira

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