On a numerical approach to solve multi-order fractional differential equations with initial/boundary conditions

Firoozjaee, M. A.; Yousefi, S. A.; Jafari, H.; Baleanu, Dumitru

dc.contributor.author	Firoozjaee, M. A.
dc.contributor.author	Yousefi, S. A.
dc.contributor.author	Jafari, H.
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2017-04-20T08:55:20Z
dc.date.available	2017-04-20T08:55:20Z
dc.date.issued	2015-11
dc.identifier.citation	Firoozjaee, M. A...et al. (2015). On a numerical approach to solve multi-order fractional differential equations with initial/boundary conditions. Journal of Computational and Nonlinear Dynamics, 10(6). http://dx.doi.org/10.1115/1.4029785	tr_TR
dc.identifier.issn	1555-1423
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1557
dc.description.abstract	In this manuscript, a new method is introduced for solving multi-order fractional differential equations. By transforming the fractional differential equations into an optimization problem and using polynomial basis functions, we obtain the system of algebraic equation. Then, we solve the system of nonlinear algebraic equation and obtain the coefficients of polynomial expansion. Also, we show the convergence of the method. Some numerical examples are presented which illustrate the theoretical results and the performance of the method	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Asme	tr_TR
dc.relation.isversionof	10.1115/1.4029785	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	On a numerical approach to solve multi-order fractional differential equations with initial/boundary conditions	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Journal of Computational and Nonlinear Dynamics	tr_TR
dc.identifier.volume	10	tr_TR
dc.identifier.issue	6	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR