A Modified Variational Iteration Method for Solving Fractional Riccati Differential Equation by Adomian Polynomials
| dc.contributor.author | Tajadodi, Hale | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Jafari, Hossein | |
| dc.date.accessioned | 2020-05-15T08:56:52Z | |
| dc.date.accessioned | 2025-09-18T14:10:25Z | |
| dc.date.available | 2020-05-15T08:56:52Z | |
| dc.date.available | 2025-09-18T14:10:25Z | |
| dc.date.issued | 2013 | |
| dc.description | Jafari, Hossein/0000-0001-6807-6675; Tajadodi, Haleh/0000-0001-8369-3698 | en_US |
| dc.description.abstract | In this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. Also the fractional Riccati differential equation is solved by variational iteration method with considering Adomians polynomials for nonlinear terms. The main advantage of the MVIM is that it can enlarge the convergence region of iterative approximate solutions. Hence, the solutions obtained using the MVIM give good approximations for a larger interval. The numerical results show that the method is simple and effective. | en_US |
| dc.identifier.citation | Jafari, Hossein; Tajadodi, Hale; Baleanu, Dumitru, "A modified variational iteration method for solving fractional riccati differential equation by Adomian polynomials" Fractional Calculus and Applied Analysis, Vol.16, No.1, pp.109-122, (2013) | en_US |
| dc.identifier.doi | 10.2478/s13540-013-0008-9 | |
| dc.identifier.issn | 1311-0454 | |
| dc.identifier.issn | 1314-2224 | |
| dc.identifier.scopus | 2-s2.0-84871756844 | |
| dc.identifier.uri | https://doi.org/10.2478/s13540-013-0008-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13674 | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter Gmbh | en_US |
| dc.relation.ispartof | Fractional Calculus and Applied Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Riccati Equation | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Modified Variational Iteration Method | en_US |
| dc.subject | Adomian Polynomials | en_US |
| dc.title | A Modified Variational Iteration Method for Solving Fractional Riccati Differential Equation by Adomian Polynomials | en_US |
| dc.title | A modified variational iteration method for solving fractional riccati differential equation by Adomian polynomials | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jafari, Hossein/0000-0001-6807-6675 | |
| gdc.author.id | Tajadodi, Haleh/0000-0001-8369-3698 | |
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| gdc.author.wosid | Jafari, Hossein/E-9912-2016 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Tajadodi, Haleh/Aic-4185-2022 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jafari, Hossein; Tajadodi, Hale] Univ Mazandaran, Dept Math, Babol Sar, Iran; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 122 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 109 | en_US |
| gdc.description.volume | 16 | en_US |
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| gdc.oaire.keywords | Riccati equation | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Numerical approximation of solutions of functional-differential equations | |
| gdc.oaire.keywords | modified variational iteration method | |
| gdc.oaire.keywords | Adomian polynomials | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
| gdc.oaire.keywords | Theoretical approximation of solutions to ordinary differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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