On Transformation Involving Basic Analogue To the Aleph-Function of Two Variables
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ayant, Frederic | |
| dc.contributor.author | Suedland, Norbert | |
| dc.contributor.author | Kumar, Dinesh | |
| dc.date.accessioned | 2024-04-30T12:04:35Z | |
| dc.date.accessioned | 2025-09-18T15:45:08Z | |
| dc.date.available | 2024-04-30T12:04:35Z | |
| dc.date.available | 2025-09-18T15:45:08Z | |
| dc.date.issued | 2022 | |
| dc.description | Kumar, Dr. Dinesh/0000-0001-5415-1777 | en_US |
| dc.description.abstract | In our work, we derived the fractional order q-integrals and q-derivatives concerning a basic analogue to the Aleph-function of two variables (AFTV). We discussed a related application and the q-extension of the corresponding Leibniz rule. Finally, we presented two corollaries concerning the basic analogue to the I-function of two variables and the basic analogue to the Aleph-function of one variable. | en_US |
| dc.identifier.citation | Kumar, Dinesh;...et.al. (2022). "On Transformation Involving Basic Analogue to the Aleph-Function of Two Variables", Fractal and Fractional, Vol.6, No.2. | en_US |
| dc.identifier.doi | 10.3390/fractalfract6020071 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.scopus | 2-s2.0-85123771302 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract6020071 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14501 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Fractal and Fractional | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Q-Integral | en_US |
| dc.subject | Q-Derivative Operators | en_US |
| dc.subject | Basic Analogue To The Aleph-Function | en_US |
| dc.subject | Basic Analogue To The I-Function | en_US |
| dc.subject | Q-Leibniz Rule | en_US |
| dc.title | On Transformation Involving Basic Analogue To the Aleph-Function of Two Variables | en_US |
| dc.title | On Transformation Involving Basic Analogue to the Aleph-Function of Two Variables | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Kumar, Dr. Dinesh/0000-0001-5415-1777 | |
| gdc.author.scopusid | 35464875400 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 57202907258 | |
| gdc.author.scopusid | 8371518400 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Kumar, Dr. Dinesh/A-3888-2017 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| 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 | [Kumar, Dinesh] Agr Univ Jodhpur, Coll Agri Jodhpur, Dept Appl Sci, Jodhpur 342304, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Ayant, Frederic] Coll Jean Lherminier, F-83500 La Seyne Sur Mer France, France; [Ayant, Frederic] Dept VAR, Ave Joseph Raynaud Parc Fleuri, F-83140 Six Foursles Les Plages, France; [Suedland, Norbert] Aage GmbH, Rontgenstr 24, D-73431 Baden Wurttemberg, Germany | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 71 | |
| gdc.description.volume | 6 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W4210472166 | |
| gdc.identifier.wos | WOS:000762779600001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 2.0 | |
| gdc.oaire.influence | 2.6456064E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | QA299.6-433 | |
| gdc.oaire.keywords | Fractional <i>q</i>-integral | |
| gdc.oaire.keywords | <i>q</i>-derivative operators | |
| gdc.oaire.keywords | Fractional <i>q</i>-integral; <i>q</i>-derivative operators; basic analogue to the Aleph-function; basic analogue to the <i>I</i>-function; <i>q</i>-Leibniz rule | |
| gdc.oaire.keywords | <i>q</i>-Leibniz rule | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Thermodynamics | |
| gdc.oaire.keywords | basic analogue to the Aleph-function | |
| gdc.oaire.keywords | basic analogue to the <i>I</i>-function | |
| gdc.oaire.keywords | QC310.15-319 | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.popularity | 3.3606329E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0104 chemical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.2706 | |
| gdc.openalex.normalizedpercentile | 0.45 | |
| gdc.opencitations.count | 1 | |
| gdc.plumx.crossrefcites | 1 | |
| gdc.plumx.facebookshareslikecount | 32 | |
| gdc.plumx.scopuscites | 3 | |
| gdc.publishedmonth | 2 | |
| gdc.scopus.citedcount | 5 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 3 | |
| 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 |