An Optimal Method for Approximating the Delay Differential Equations of Noninteger Order
| dc.contributor.author | Agheli, Bahram | |
| dc.contributor.author | Darzi, Rahmat | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2019-12-20T12:36:33Z | |
| dc.date.accessioned | 2025-09-18T14:10:16Z | |
| dc.date.available | 2019-12-20T12:36:33Z | |
| dc.date.available | 2025-09-18T14:10:16Z | |
| dc.date.issued | 2018 | |
| dc.description | Agheli, Bahram/0000-0003-2084-4158 | en_US |
| dc.description.abstract | The main purpose of this paper is to use a method with a free parameter, named the optimal asymptotic homotopy method (OHAM), in order to obtain the solution of delay differential equations, delay partial differential equations, and a system of coupled delay equations featuring fractional derivative. This method is preferable to others since it has faster convergence toward homotopy perturbation method, and the convergence rate can be set as a controlled area. Various examples are given to better understand the use of this method. The approximate solutions are compared with exact solutions as well. | en_US |
| dc.description.sponsorship | office of vice chancellor for research and technology at Islamic Azad University, Qaemshahr branch, Neka branch; Cankaya University | en_US |
| dc.description.sponsorship | The author would also like to thank the office of vice chancellor for research and technology at Islamic Azad University, Qaemshahr branch, Neka branch, and Cankaya University for their financial support. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Agheli, Bahram; Darzi, Rahmat (2018). An optimal method for approximating the delay differential equations of noninteger order, Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1717-5 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85051664636 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1717-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13640 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Delay Differential Equations | en_US |
| dc.subject | Optimal Homotopy Asymptotic | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.title | An Optimal Method for Approximating the Delay Differential Equations of Noninteger Order | en_US |
| dc.title | An optimal method for approximating the delay differential equations of noninteger order | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Darzi, Rahmat/Aan-9923-2021 | |
| gdc.author.wosid | Agheli, Bahram/R-3610-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space sci, Maturely Bucharest, Romania; [Agheli, Bahram] Islamic Azad Univ, Qaemshahr Branch, Dept Math, Qaemshahr, Iran; [Darzi, Rahmat] Islamic Azad Univ, Neka Branch, Dept Math, Neka, Iran | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2018 | |
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| gdc.oaire.keywords | Delay differential equations | |
| gdc.oaire.keywords | Asymptotic Analysis | |
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| gdc.oaire.keywords | QA1-939 | |
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| gdc.oaire.keywords | Optimal homotopy asymptotic | |
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| gdc.oaire.keywords | delay differential equations | |
| gdc.oaire.keywords | Theoretical approximation in context of PDEs | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
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