A New Approach for Solving Multi Variable Orders Differential Equations With Mittag-Leffler Kernel
| dc.contributor.author | Jafari, H. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Ganji, R. M. | |
| dc.date.accessioned | 2020-04-30T13:42:56Z | |
| dc.date.accessioned | 2025-09-18T15:43:13Z | |
| dc.date.available | 2020-04-30T13:42:56Z | |
| dc.date.available | 2025-09-18T15:43:13Z | |
| dc.date.issued | 2020 | |
| dc.description | Moallem Ganji, Roghayeh/0000-0002-0268-7358; Jafari, Hossein/0000-0001-6807-6675 | en_US |
| dc.description.abstract | In this paper we consider multi variable orders differential equations (MVODEs) with non-local and no-singular kernel. The derivative is described in Atangana and Baleanu sense of variable order. We use the fifth-kind Chebyshev polynomials as basic functions to obtain operational matrices. We transfer the original equations to a system of algebraic equations using operational matrices and collocation method. The convergence analysis of the presented method is discussed. Few examples are presented to show the efficiency of the presented method. (C) 2019 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.citation | Ganji, R.M.; Jafari, H.; Baleanu, Dumitru; "A New Approach for Solving Multi Variable Orders Differential Equations With Mittag–Leffler Kernel", Chaos, Solitons and Fractals, Vol. 130, (2020). | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2019.109405 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85073284399 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2019.109405 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13893 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Atangana-Baleanu-Caputo Derivative | en_US |
| dc.subject | Multi Variable Order | en_US |
| dc.subject | The Fifth-Kind Chebyshev Polynomials | en_US |
| dc.subject | Collocation Method | en_US |
| dc.title | A New Approach for Solving Multi Variable Orders Differential Equations With Mittag-Leffler Kernel | en_US |
| dc.title | A New Approach for Solving Multi Variable Orders Differential Equations With Mittag–Leffler Kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Moallem Ganji, Roghayeh/0000-0002-0268-7358 | |
| gdc.author.id | Jafari, Hossein/0000-0001-6807-6675 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Jafari, Hossein/E-9912-2016 | |
| gdc.author.wosid | Ganji, Roghayeh/Aap-4615-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ganji, R. M.; Jafari, H.] Univ Mazandaran, Dept Math, Babol Sar, Iran; [Jafari, H.] Univ South Africa, Dept Math Sci, UNISA, ZA-0003 Pretoria, South Africa; [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 109405 | |
| gdc.description.volume | 130 | en_US |
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| gdc.oaire.keywords | collocation method | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | multi-variable order | |
| gdc.oaire.keywords | fifth-kind Chebyshev polynomials | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for ordinary differential equations | |
| gdc.oaire.keywords | Atangana-Baleanu-Caputo derivative | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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