DSpace Repository

Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations By Bps Operational Matrices

Show simple item record

dc.contributor.author Alipour, Mohsen
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-04-03T10:36:33Z
dc.date.available 2020-04-03T10:36:33Z
dc.date.issued 2013
dc.identifier.citation Alipour, Mohsen; Baleanu, Dumitru, "Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by Bps Operational Matrices" : tr_TR
dc.identifier.issn 1687-9120
dc.identifier.uri http://hdl.handle.net/20.500.12416/2885
dc.description.abstract We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the Bernstein polynomials (BPs). In the first method, we use the operational matrix of Caputo fractional derivative (OMCFD), and in the second one, we apply the operational matrix of Riemann-Liouville fractional integral (OMRLFI). The obtained results are in good agreement with each other as well as with the analytical solutions. We show that the solutions approach to classical solutions as the order of the fractional derivatives approaches 1. tr_TR
dc.language.iso eng tr_TR
dc.publisher Hindawi Publishing Corporation tr_TR
dc.relation.isversionof 10.1155/2013/954015 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Homotopy Perturbation Method tr_TR
dc.subject Decomposition Method tr_TR
dc.subject Adomian Decomposition tr_TR
dc.subject Order tr_TR
dc.subject Synchronızatıon tr_TR
dc.title Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations By Bps Operational Matrices tr_TR
dc.type article tr_TR
dc.relation.journal Advances In Mathematical Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


Files in this item

This item appears in the following Collection(s)

Show simple item record