Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by Bps Operational Matrices
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alipour, Mohsen | |
| dc.date.accessioned | 2020-04-03T10:36:33Z | |
| dc.date.accessioned | 2025-09-18T12:47:26Z | |
| dc.date.available | 2020-04-03T10:36:33Z | |
| dc.date.available | 2025-09-18T12:47:26Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the Bernstein polynomials (BPs). In the first method, we use the operational matrix of Caputo fractional derivative (OMCFD), and in the second one, we apply the operational matrix of Riemann-Liouville fractional integral (OMRLFI). The obtained results are in good agreement with each other as well as with the analytical solutions. We show that the solutions approach to classical solutions as the order of the fractional derivatives approaches 1. | en_US |
| dc.identifier.citation | Alipour, Mohsen; Baleanu, Dumitru, "Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by Bps Operational Matrices" : | en_US |
| dc.identifier.doi | 10.1155/2013/954015 | |
| dc.identifier.issn | 1687-9120 | |
| dc.identifier.issn | 1687-9139 | |
| dc.identifier.scopus | 2-s2.0-84877296908 | |
| dc.identifier.uri | https://doi.org/10.1155/2013/954015 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11808 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Advances in Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by Bps Operational Matrices | en_US |
| dc.title | Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations By Bps Operational Matrices | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 57220772685 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Alipour, Mohsen/Abg-9213-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Alipour, Mohsen] Imam Khomeini Int Univ, Dept Math, Qazvin, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia | en_US |
| gdc.description.endpage | 9 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1 | |
| gdc.description.volume | 2013 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2105277762 | |
| gdc.identifier.wos | WOS:000317524000001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 8.0 | |
| gdc.oaire.influence | 3.6869154E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Financial economics | |
| gdc.oaire.keywords | Composite material | |
| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | QC1-999 | |
| gdc.oaire.keywords | Matrix (chemical analysis) | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Functional Differential Equations | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Order (exchange) | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Materials science | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Semilinear Differential Equations | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Derivative (finance) | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Nonlinear system | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Nonlinear Systems | |
| gdc.oaire.keywords | Finance | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Bernstein polynomials | |
| gdc.oaire.keywords | Theoretical approximation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Caputo fractional derivative | |
| gdc.oaire.keywords | Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Riemann-Liouville fractional integral | |
| gdc.oaire.popularity | 3.8393475E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 2.6131 | |
| gdc.openalex.normalizedpercentile | 0.88 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 15 | |
| gdc.plumx.crossrefcites | 8 | |
| gdc.plumx.mendeley | 10 | |
| gdc.plumx.scopuscites | 15 | |
| gdc.scopus.citedcount | 17 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 13 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |