Pathological Study on Uncertain Numbers and Proposed Solutions for Discrete Fuzzy Fractional Order Calculus
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ma, Chang-You | |
| dc.contributor.author | Shiri, Babak | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2024-09-18T10:59:53Z | |
| dc.date.accessioned | 2025-09-18T16:07:58Z | |
| dc.date.available | 2024-09-18T10:59:53Z | |
| dc.date.available | 2025-09-18T16:07:58Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | A pathological study in the definition of uncertain numbers is carried out, and some solutions are proposed. Fundamental theorems for uncertain discrete fractional and integer order calculus are established. The concept of maximal solution for obtaining a unique uncertain solution is introduced. The solutions of uncertain discrete relaxation equations for the integer and the fractional order are obtained. Various numerical examples are accompanied to clarify the theoretical results and study of uncertain system behavior. | en_US |
| dc.description.publishedMonth | 1 | |
| dc.description.sponsorship | National Natural Science Foundation of China (NSFC) [62076141] | en_US |
| dc.description.sponsorship | This work is financially supported by the National Natural Science Foundation of China(NSFC) (Grant No. 62076141) | en_US |
| dc.identifier.citation | Shiri, Babak; Baleanu, Dumitru; Ma, Chang-You (2023). "Pathological study on uncertain numbers and proposed solutions for discrete fuzzy fractional order calculus", Open Physics, Vol. 21, No. 1. | en_US |
| dc.identifier.doi | 10.1515/phys-2023-0135 | |
| dc.identifier.issn | 2391-5471 | |
| dc.identifier.scopus | 2-s2.0-85179080697 | |
| dc.identifier.uri | https://doi.org/10.1515/phys-2023-0135 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14916 | |
| dc.language.iso | en | en_US |
| dc.publisher | de Gruyter Poland Sp Z O O | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fuzzy Number | en_US |
| dc.subject | R-Cuts | en_US |
| dc.subject | Uncertain Numbers | en_US |
| dc.subject | Hukuhara Difference | en_US |
| dc.subject | Fractional Nabla Difference | en_US |
| dc.title | Pathological Study on Uncertain Numbers and Proposed Solutions for Discrete Fuzzy Fractional Order Calculus | en_US |
| dc.title | Pathological study on uncertain numbers and proposed solutions for discrete fuzzy fractional order calculus | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 55614612800 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 57206694833 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Shiri, Babak/T-7172-2019 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Shiri, Babak; Ma, Chang-You] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Baleanu, Dumitru] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut 11022801, Lebanon; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele Buchares, Romania; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkiye | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 21 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W4388983910 | |
| gdc.identifier.wos | WOS:001109530900001 | |
| gdc.openalex.fwci | 5.10847362 | |
| gdc.openalex.normalizedpercentile | 0.93 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 6 | |
| gdc.plumx.scopuscites | 8 | |
| gdc.scopus.citedcount | 8 | |
| gdc.wos.citedcount | 6 | |
| 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 |