DSpace Repository

Numerical Investigation of Ordinary and Partial Differential Equations with Variable Fractional Order by Bernstein Operational Matrix

Show simple item record

dc.contributor.author Taleshian, Amir Hosein
dc.contributor.author Alipour, Mohsen
dc.contributor.author Babakhani, Azizolla
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-04-29T12:19:24Z
dc.date.available 2024-04-29T12:19:24Z
dc.date.issued 2022-12
dc.identifier.citation Taleshian, Amir Hose;...et.al. (2022). "Numerical Investigation of Ordinary and Partial Differential Equations with Variable Fractional Order by Bernstein Operational Matrix", International Journal of Applied and Computational Mathematics, Vol.8, No.6. tr_TR
dc.identifier.issn 23495103
dc.identifier.uri http://hdl.handle.net/20.500.12416/8041
dc.description.abstract This research proposes a method to find numerical solutions of the variable-order fractional differential equation. We derived new operational matrix by applying Bernstein polynomials. Then, using this matrix, the method of solving the system of variable-order fractional differential equation and variable-order fractional partial differential equation are presented. Various numerical examples of these problems are provided along with the figures and tables. Finally, the accuracy of the proposed method is evaluated. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof DOI 10.1007/s40819-022-01475-2 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Bernstein Polynomials tr_TR
dc.subject Operational Matrix tr_TR
dc.subject Partial Differential Equation Problems tr_TR
dc.subject Riemann-Liouville Fractional Derivative And Integral tr_TR
dc.subject System Of Nonlinear Differential Equations Problems tr_TR
dc.subject Variable Order Fractional Differential Equations tr_TR
dc.title Numerical Investigation of Ordinary and Partial Differential Equations with Variable Fractional Order by Bernstein Operational Matrix tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Applied and Computational Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 6 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record