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New Generalizations in the Sense of the Weighted Non-Singular Fractional Integral Operator

dc.contributor.author Hammouch, Zakia
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Chu, Yu-Ming
dc.contributor.author Rashid, Saima
dc.date.accessioned 2022-07-07T11:45:47Z
dc.date.accessioned 2025-09-18T14:09:55Z
dc.date.available 2022-07-07T11:45:47Z
dc.date.available 2025-09-18T14:09:55Z
dc.date.issued 2020
dc.description Hammouch, Zakia/0000-0001-7349-6922 en_US
dc.description.abstract In this paper, we propose a new fractional operator which is based on the weight function for Atangana{Baleanu (AB)-fractional operators. A motivating characteristic is the generalization of classical variants within the weighted AB-fractional integral. We aim to establish Minkowski and reverse Holder inequalities by employing weighted AB-fractional integral. The consequences demonstrate that the obtained technique is well-organized and appropriate. en_US
dc.description.sponsorship The authors would like to thank the anonymous referees for their valuable suggestions and comments. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11971142, 61673169, 11701176, 11626101, 11601485 and 11871202). en_US
dc.description.sponsorship National Natural Science Foundation of China [11971142, 61673169, 11701176, 11626101, 11601485, 11871202] en_US
dc.identifier.citation Rashid, Saima...et al. (2020). "New generalizations in the sense of the weighted non-singular fractional integral operator", Fractals, Vol. 28, No. 8. en_US
dc.identifier.doi 10.1142/S0218348X20400034
dc.identifier.issn 0218-348X
dc.identifier.issn 1793-6543
dc.identifier.scopus 2-s2.0-85088275606
dc.identifier.uri https://doi.org/10.1142/S0218348X20400034
dc.identifier.uri https://hdl.handle.net/20.500.12416/13532
dc.language.iso en en_US
dc.publisher World Scientific Publ Co Pte Ltd en_US
dc.relation.ispartof Fractals
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Weighted Ab-Fractional Operator en_US
dc.subject Minkowski Inequality en_US
dc.subject Reverse Holder Inequality en_US
dc.title New Generalizations in the Sense of the Weighted Non-Singular Fractional Integral Operator en_US
dc.title New generalizations in the sense of the weighted non-singular fractional integral operator tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Hammouch, Zakia/0000-0001-7349-6922
gdc.author.scopusid 57200041124
gdc.author.scopusid 12768922000
gdc.author.scopusid 7005872966
gdc.author.scopusid 9839077200
gdc.author.wosid Hammouch, Zakia/D-3532-2011
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Rashid, Saima/Aaf-7976-2021
gdc.author.yokid 56389
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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 [Rashid, Saima] Govt Coll Univ, Dept Math, Faisalabad, Pakistan; [Hammouch, Zakia] Moulay Ismail Univ Meknes, Fac Sci & Tech, Errachidia 52000, Morocco; [Hammouch, Zakia] Harran Univ, Dept Math & Sci Educ, Sanliurfa, Turkey; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China; [Chu, Yu-Ming] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China en_US
gdc.description.issue 8 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 2040003
gdc.description.volume 28 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W3022237750
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gdc.oaire.keywords Generalization
gdc.oaire.keywords Evolutionary biology
gdc.oaire.keywords Operator (biology)
gdc.oaire.keywords Matrix Inequalities and Geometric Means
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Biochemistry
gdc.oaire.keywords Gene
gdc.oaire.keywords Fractional Integrals
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords weighted \(\mathcal{AB}\)-fractional operator
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords reverse Hölder inequality
gdc.oaire.keywords Biology
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Singular integral
gdc.oaire.keywords Integral equation
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Minkowski inequality
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Fractional Derivatives
gdc.oaire.keywords Weight function
gdc.oaire.keywords Chemistry
gdc.oaire.keywords Function (biology)
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Repressor
gdc.oaire.keywords Fractional Calculus
gdc.oaire.keywords Transcription factor
gdc.oaire.keywords Mathematics
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gdc.opencitations.count 24
gdc.plumx.crossrefcites 25
gdc.plumx.mendeley 1
gdc.plumx.scopuscites 37
gdc.publishedmonth 12
gdc.scopus.citedcount 37
gdc.virtual.author Baleanu, Dumitru
gdc.wos.citedcount 29
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