Numerical Solutions of the Initial Value Problem for Fractional Differential Equations by Modification of the Adomian Decomposition Method
| dc.contributor.author | Vaezpour, S. Mansour | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Khodabakhshi, Neda | |
| dc.date.accessioned | 2020-05-15T08:57:13Z | |
| dc.date.accessioned | 2025-09-18T12:04:39Z | |
| dc.date.available | 2020-05-15T08:57:13Z | |
| dc.date.available | 2025-09-18T12:04:39Z | |
| dc.date.issued | 2014 | |
| dc.description | Vaezpour, S. Mansour/0000-0003-3909-4203; Khodabakhshi, Neda/0000-0002-6455-7719 | en_US |
| dc.description.abstract | In this paper, we extend a reliable modification of the Adomian decomposition method presented in [34] for solving initial value problem for fractional differential equations. In order to confirm the applicability and the advantages of our approach, we consider some illustrative examples. | en_US |
| dc.identifier.citation | Khodabakhshi, Neda; Vaezpour, SM; Baleanu, Dumitru, "Numerical solutions of the initial value problem for fractional differential equations by modification of the adomian decomposition method" Fractional Calculus and Applied Analysis, Vol.17, No.2, pp.382-400, (2014). | en_US |
| dc.identifier.doi | 10.2478/s13540-014-0176-2 | |
| dc.identifier.issn | 1311-0454 | |
| dc.identifier.issn | 1314-2224 | |
| dc.identifier.scopus | 2-s2.0-84896913803 | |
| dc.identifier.uri | https://doi.org/10.2478/s13540-014-0176-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10411 | |
| dc.language.iso | en | en_US |
| dc.publisher | de Gruyter Open Ltd | en_US |
| dc.relation.ispartof | Fractional Calculus and Applied Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Modified Decomposition Method | en_US |
| dc.subject | Adomian Polynomials | en_US |
| dc.title | Numerical Solutions of the Initial Value Problem for Fractional Differential Equations by Modification of the Adomian Decomposition Method | en_US |
| dc.title | Numerical solutions of the initial value problem for fractional differential equations by modification of the adomian decomposition method | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Vaezpour, S. Mansour/0000-0003-3909-4203 | |
| gdc.author.id | Khodabakhshi, Neda/0000-0002-6455-7719 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Vaezpour, S./Aac-4816-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khodabakhshi, Neda; Vaezpour, S. Mansour] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran, Iran; [Baleanu, Dumitru] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Fac Art & Sci, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania | en_US |
| gdc.description.endpage | 400 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 382 | en_US |
| gdc.description.volume | 17 | en_US |
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| gdc.oaire.keywords | Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. | |
| gdc.oaire.keywords | modified decomposition method | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Adomian polynomials | |
| gdc.oaire.keywords | Theoretical approximation of solutions to ordinary differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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