The Extended Fractional Caputo-Fabrizio Derivative of Order 0 ≤ Σ < 1 on Cr[0,1] and the Existence of Solutions for Two Higher-Order Series-Type Differential Equations
| dc.contributor.author | Mousalou, Asef | |
| dc.contributor.author | Rezapour, Shahram | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2023-02-07T12:40:18Z | |
| dc.date.accessioned | 2025-09-18T14:10:37Z | |
| dc.date.available | 2023-02-07T12:40:18Z | |
| dc.date.available | 2025-09-18T14:10:37Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | We extend the fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and investigate two higher-order series-type fractional differential equations involving the extended derivation. Also, we provide an example to illustrate one of the main results. | en_US |
| dc.description.sponsorship | Azarbaijan Shahid Madani University | en_US |
| dc.description.sponsorship | The second and third authors were supported by Azarbaijan Shahid Madani University. The authors express their gratitude to the referees for their helpful suggestions, which improved the final version of this paper. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram (2018). "The extended fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and the existence of solutions for two higher-order series-type differential equations", Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1696-6 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85050550443 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1696-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13745 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | The Extended Caputo-Fabrizio Derivative Of Order 0 <= Sigma < 1 | en_US |
| dc.subject | Higher-Order Fractional Differential Equation | en_US |
| dc.subject | Series-Type Equation | en_US |
| dc.title | The Extended Fractional Caputo-Fabrizio Derivative of Order 0 ≤ Σ < 1 on Cr[0,1] and the Existence of Solutions for Two Higher-Order Series-Type Differential Equations | en_US |
| dc.title | The extended fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and the existence of solutions for two higher-order series-type differential equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 57193242670 | |
| gdc.author.scopusid | 55935081600 | |
| gdc.author.wosid | Rezapour, Shahram/N-4883-2016 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C3 | |
| 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 | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Mousalou, Asef; Rezapour, Shahram] Azarbaijan Shah Madani Univ, Dept Math, Tabriz, Iran; [Rezapour, Shahram] China Med Univ Hosp, China Med Univ, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2018 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2884403648 | |
| gdc.identifier.wos | WOS:000439948000005 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 56.0 | |
| gdc.oaire.influence | 7.5659905E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Financial economics | |
| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | The extended Caputo–Fabrizio derivative of order 0 ≤ σ < 1 $0\leq \sigma <1$ | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Biology | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Order (exchange) | |
| gdc.oaire.keywords | Ecology | |
| gdc.oaire.keywords | Series-type equation | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | Higher-order fractional differential equation | |
| gdc.oaire.keywords | Statistical and Nonlinear Physics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Sigma | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Physics and Astronomy | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Derivative (finance) | |
| gdc.oaire.keywords | Mathematical physics | |
| gdc.oaire.keywords | FOS: Biological sciences | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Type (biology) | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Finance | |
| gdc.oaire.keywords | Rogue Waves in Nonlinear Systems | |
| gdc.oaire.popularity | 2.6149246E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0202 electrical engineering, electronic engineering, information engineering | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 8.1802 | |
| gdc.openalex.normalizedpercentile | 0.98 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 64 | |
| gdc.plumx.crossrefcites | 8 | |
| gdc.plumx.mendeley | 8 | |
| gdc.plumx.scopuscites | 70 | |
| gdc.publishedmonth | 7 | |
| gdc.scopus.citedcount | 75 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 67 | |
| 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 |