Anomalous Diffusion Models With General Fractional Derivatives Within the Kernels of the Extended Mittag-Leffler Type Functions
| dc.contributor.author | Yang, Xiao-Jun | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Tenreiro Machado, J. A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.other | Matematik | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2025-09-23T12:48:47Z | |
| dc.date.available | 2025-09-23T12:48:47Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | This paper addresses the new general fractional derivatives (GFDs) involving the kernels of the extended Mittag-Leffler type functions (MLFs). With the aid of the GFDs in the MLF kernels, the mathematical models for the anomalous diffusion of fractional order are analyzed and discussed. The proposed formulations are also used to describe complex phenomena that occur in heat transfer. | en_US |
| dc.description.sponsorship | State Key Research Development Program of the People's Republic of China [2016YFC0600705]; Natural Science Foundation of China [51323004]; Priority Academic Program Development of the Jiangsu Higher Education Institutions (PAPD) | en_US |
| dc.description.sponsorship | This work was supported by the State Key Research Development Program of the People's Republic of China (Grant No. 2016YFC0600705), the Natural Science Foundation of China (Grant No. 51323004), and the Priority Academic Program Development of the Jiangsu Higher Education Institutions (PAPD2014). | en_US |
| dc.identifier.citation | Yang, X.J., Tenreiro Machado, J.A., Baleanu, D. (2017). Anomalous diffusion models with general fractional derivatives within the kernels of the extended mittag-leffler type functions. Romanian Reports In Physics, 69(4). | en_US |
| dc.identifier.issn | 1221-1451 | |
| dc.identifier.issn | 1841-8759 | |
| dc.identifier.scopus | 2-s2.0-85031102353 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15319 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | General Fractional Derivative | en_US |
| dc.subject | Mittag-Leffler-Function | en_US |
| dc.subject | Anomalous Diffusion | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.title | Anomalous Diffusion Models With General Fractional Derivatives Within the Kernels of the Extended Mittag-Leffler Type Functions | en_US |
| dc.title | Anomalous diffusion models with general fractional derivatives within the kernels of the extended mittag-leffler type functions | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 37006104500 | |
| gdc.author.scopusid | 55989030100 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Machado, J./M-2173-2013 | |
| gdc.author.wosid | Yang, Xiao-Jun/E-8311-2011 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Yang, Xiao-Jun] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Peoples R China; [Yang, Xiao-Jun] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221116, Peoples R China; [Tenreiro Machado, J. A.] Polytech Porto, Inst Engn, Dept Elect Engn, Rua Dr Antonio Bernardino de Almeida, P-4249015 Oporto, Portugal; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 69 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000417112800001 | |
| gdc.scopus.citedcount | 98 | |
| gdc.wos.citedcount | 73 | |
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