On Solutions of Fractional Riccati Differential Equations
| dc.contributor.author | Akgul, Ali | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Sakar, Mehmet Giyas | |
| dc.date.accessioned | 2019-12-16T13:28:52Z | |
| dc.date.accessioned | 2025-09-18T14:10:13Z | |
| dc.date.available | 2019-12-16T13:28:52Z | |
| dc.date.available | 2025-09-18T14:10:13Z | |
| dc.date.issued | 2017 | |
| dc.description | Sakar, Mehmet Giyas/0000-0002-1911-2622 | en_US |
| dc.description.abstract | We apply an iterative reproducing kernel Hilbert space method to get the solutions of fractional Riccati differential equations. The analysis implemented in this work forms a crucial step in the process of development of fractional calculus. The fractional derivative is described in the Caputo sense. Outcomes are demonstrated graphically and in tabulated forms to see the power of the method. Numerical experiments are illustrated to prove the ability of the method. Numerical results are compared with some existing methods. | en_US |
| dc.identifier.citation | Sakar, Mehmet Giyas; Akgul, Ali; Baleanu, Dumitru (2017). On solutions of fractional Riccati differential equations, Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-017-1091-8 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85011841765 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-017-1091-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13622 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Iterative Reproducing Kernel Hilbert Space Method | en_US |
| dc.subject | Inner Product | en_US |
| dc.subject | Fractional Riccati Differential Equation | en_US |
| dc.subject | Analytic Approximation | en_US |
| dc.title | On Solutions of Fractional Riccati Differential Equations | en_US |
| dc.title | On solutions of fractional Riccati differential equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Sakar, Mehmet Giyas/0000-0002-1911-2622 | |
| gdc.author.scopusid | 54945074000 | |
| gdc.author.scopusid | 58486733300 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Akgül, Ali/F-3909-2019 | |
| 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 | [Sakar, Mehmet Giyas] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Akgul, Ali] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey; [Baleanu, Dumitru] Cankaya Univ, Art & Sci Fac, Dept Math & Comp Sci, TR-06300 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Dept Math, Bucharest, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2017 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2583649390 | |
| gdc.identifier.wos | WOS:000394161000003 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 20.0 | |
| gdc.oaire.influence | 5.6074754E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | inner product | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Riccati equation | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Numerical Methods for Singularly Perturbed Problems | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | iterative reproducing kernel Hilbert space method | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Algebra and Number Theory | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Hilbert space | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Kernel (algebra) | |
| gdc.oaire.keywords | fractional Riccati differential equation | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | analytic approximation | |
| gdc.oaire.keywords | Iterative Methods | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | kernel Hilbert space method | |
| gdc.oaire.popularity | 2.9153032E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 5.46084143 | |
| gdc.openalex.normalizedpercentile | 0.96 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 53 | |
| gdc.plumx.crossrefcites | 16 | |
| gdc.plumx.mendeley | 19 | |
| gdc.plumx.scopuscites | 71 | |
| gdc.publishedmonth | 2 | |
| gdc.scopus.citedcount | 71 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 45 | |
| 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 |