Properties and Applications of Complex Fractal-Fractional Operators in the Open Unit Disk

dc.authoridIbrahim, Rabha W./0000-0001-9341-025X
dc.authorscopusid6603633832
dc.authorscopusid23028598900
dc.authorscopusid16319225300
dc.authorscopusid57386079400
dc.authorwosidAttiya, Adel/A-6090-2008
dc.authorwosidIbrahim, Rabha W./D-3312-2017
dc.contributor.authorAttiya, Adel A.
dc.contributor.authorSalahshour, Soheil
dc.contributor.authorIbrahim, Rabha W.
dc.contributor.authorYassen, Mansour F.
dc.date.accessioned2024-11-15T19:38:45Z
dc.date.available2024-11-15T19:38:45Z
dc.date.issued2024
dc.departmentOkan Universityen_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, Egypten_US
dc.descriptionIbrahim, Rabha W./0000-0001-9341-025Xen_US
dc.description.abstractA 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.sponsorshipPrince sattam bin Abdulaziz University; [PSAU/2024/R/1445]en_US
dc.description.sponsorshipThis research was funded by Prince sattam bin Abdulaziz University project number (PSAU/2024/R/1445).en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citation0
dc.identifier.doi10.3390/fractalfract8100584
dc.identifier.issn2504-3110
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85207686895
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract8100584
dc.identifier.urihttps://hdl.handle.net/20.500.14517/6995
dc.identifier.volume8en_US
dc.identifier.wosWOS:001341812800001
dc.identifier.wosqualityQ1
dc.institutionauthorSalahshour, Soheıl
dc.language.isoen
dc.publisherMdpien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectanalytic functionen_US
dc.subjectopen unit disken_US
dc.subjectconvex functionen_US
dc.subjectstarlike functionen_US
dc.subjectsymmetric domainen_US
dc.subjectfractal-fractional differential operatoren_US
dc.subjectfractal-fractional calculusen_US
dc.titleProperties and Applications of Complex Fractal-Fractional Operators in the Open Unit Disken_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf5ba517c-75fb-4260-af62-01c5f5912f3d
relation.isAuthorOfPublication.latestForDiscoveryf5ba517c-75fb-4260-af62-01c5f5912f3d

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