On a Numerical Approach To Solve Multi-Order Fractional Differential Equations With Initial/Boundary Conditions
| dc.contributor.author | Yousefi, S. A. | |
| dc.contributor.author | Jafari, H. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Firoozjaee, M. A. | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2017-04-20T08:55:20Z | |
| dc.date.accessioned | 2025-09-18T13:26:26Z | |
| dc.date.available | 2017-04-20T08:55:20Z | |
| dc.date.available | 2025-09-18T13:26:26Z | |
| dc.date.issued | 2015 | |
| dc.description | Arab Firoozjaee, Mohmmad/0000-0002-3892-6963; Jafari, Hossein/0000-0001-6807-6675 | en_US |
| 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. | en_US |
| dc.description.publishedMonth | 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 | en_US |
| dc.identifier.doi | 10.1115/1.4029785 | |
| dc.identifier.issn | 1555-1423 | |
| dc.identifier.issn | 1555-1415 | |
| dc.identifier.scopus | 2-s2.0-84937022176 | |
| dc.identifier.uri | https://doi.org/10.1115/1.4029785 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/12610 | |
| dc.language.iso | en | en_US |
| dc.publisher | Asme | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | On a Numerical Approach To Solve Multi-Order Fractional Differential Equations With Initial/Boundary Conditions | en_US |
| dc.title | On a numerical approach to solve multi-order fractional differential equations with initial/boundary conditions | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Arab Firoozjaee, Mohmmad/0000-0002-3892-6963 | |
| gdc.author.id | Jafari, Hossein/0000-0001-6807-6675 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 36454617600 | |
| gdc.author.scopusid | 7003551252 | |
| gdc.author.scopusid | 26642881400 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Jafari, Hossein/E-9912-2016 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jafari, H.] Univ Mazandaran, Dept Math, Babol Sar 4741695447, Iran; [Firoozjaee, M. A.] Shahid Beheshti Univ, GC, Dept Math, Tehran 1983963113, Iran; [Yousefi, S. A.] Shahid Beheshti Univ, Dept Math, Tehran 1983963113, Iran; [Jafari, H.] Univ S Africa, Dept Math Sci, ZA-0003 Pretoria, South Africa; [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, TR-0630 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, R-76900 Magurele, Romania | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 10 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W1751713623 | |
| gdc.identifier.wos | WOS:000368509900026 | |
| gdc.openalex.fwci | 1.04913023 | |
| gdc.openalex.normalizedpercentile | 0.8 | |
| gdc.opencitations.count | 12 | |
| gdc.plumx.crossrefcites | 4 | |
| gdc.plumx.mendeley | 4 | |
| gdc.plumx.scopuscites | 15 | |
| gdc.scopus.citedcount | 15 | |
| gdc.wos.citedcount | 13 | |
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