Properties and Applications of Complex Fractal-Fractional Operators in the Open Unit Disk
| dc.authorid | Ibrahim, Rabha W./0000-0001-9341-025X | |
| dc.authorscopusid | 6603633832 | |
| dc.authorscopusid | 23028598900 | |
| dc.authorscopusid | 16319225300 | |
| dc.authorscopusid | 57386079400 | |
| dc.authorwosid | Attiya, Adel/A-6090-2008 | |
| dc.authorwosid | Ibrahim, Rabha W./D-3312-2017 | |
| dc.contributor.author | Attiya, Adel A. | |
| dc.contributor.author | Salahshour, Soheil | |
| dc.contributor.author | Ibrahim, Rabha W. | |
| dc.contributor.author | Yassen, Mansour F. | |
| dc.date.accessioned | 2024-11-15T19:38:45Z | |
| dc.date.available | 2024-11-15T19:38:45Z | |
| dc.date.issued | 2024 | |
| dc.department | Okan University | en_US |
| dc.department-temp | [Attiya, Adel A.] Univ Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia; [Attiya, Adel A.] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt; [Salahshour, Soheil; Ibrahim, Rabha W.] Istanbul Okan Univ, Fac Engn & Nat Sci, Adv Comp Lab, TR-34959 Istanbul, Turkiye; [Salahshour, Soheil] Bahcesehir Univ, Fac Engn & Nat Sci, TR-34349 Istanbul, Turkiye; [Salahshour, Soheil] Lebanese Amer Univ, Dept Comp Sci & Math, Byblos 03797, Lebanon; [Ibrahim, Rabha W.] Al Ayen Univ, Sci Res Ctr, Informat & Commun Technol Res Grp, Nasiriyah 64001, Iraq; [Yassen, Mansour F.] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities, Dept Math, Al Kharj 11942, Saudi Arabia; [Yassen, Mansour F.] Damietta Univ, Fac Sci, Dept Math, Dumyat 34517, Egypt | en_US |
| dc.description | Ibrahim, Rabha W./0000-0001-9341-025X | en_US |
| dc.description.abstract | A fractal-fractional calculus is presented in term of a generalized gamma function (& ell;-gamma function: Gamma & ell;(.)). The suggested operators are given in the symmetric complex domain (the open unit disk). A novel arrangement of the operators shows the normalization associated with every operator. We investigate a number of significant geometric features thanks to this. Additionally, some integrals, such the Alexander and Libra integral operators, are associated with these operators. Simple power functions are among the illustrations that are provided. Additionally, the formulation of the discrete & ell;-fractal-fractional operators is conducted. We demonstrate that well-known examples are involved in the extended operators. | en_US |
| dc.description.sponsorship | Prince sattam bin Abdulaziz University; [PSAU/2024/R/1445] | en_US |
| dc.description.sponsorship | This research was funded by Prince sattam bin Abdulaziz University project number (PSAU/2024/R/1445). | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citationcount | 0 | |
| dc.identifier.doi | 10.3390/fractalfract8100584 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopus | 2-s2.0-85207686895 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract8100584 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14517/6995 | |
| dc.identifier.volume | 8 | en_US |
| dc.identifier.wos | WOS:001341812800001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | |
| dc.publisher | Mdpi | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 0 | |
| dc.subject | analytic function | en_US |
| dc.subject | open unit disk | en_US |
| dc.subject | convex function | en_US |
| dc.subject | starlike function | en_US |
| dc.subject | symmetric domain | en_US |
| dc.subject | fractal-fractional differential operator | en_US |
| dc.subject | fractal-fractional calculus | en_US |
| dc.title | Properties and Applications of Complex Fractal-Fractional Operators in the Open Unit Disk | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 0 |