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Some Symmetric Properties and Applications of Weighted Fractional Integral Operator

dc.contributor.author Samraiz, Muhammad
dc.contributor.author Mehmood, Ahsan
dc.contributor.author Jarad, Fahd
dc.contributor.author Naheed, Saima
dc.contributor.author Wu, Shanhe
dc.date.accessioned 2024-11-04T10:29:40Z
dc.date.accessioned 2025-09-18T13:26:00Z
dc.date.available 2024-11-04T10:29:40Z
dc.date.available 2025-09-18T13:26:00Z
dc.date.issued 2023
dc.description Samraiz, Muhammad/0000-0001-8480-2817; Naheed, Saima/0000-0003-1984-525X en_US
dc.description.abstract In this paper, a weighted generalized fractional integral operator based on the Mittag-Leffler function is established, and it exhibits symmetric characteristics concerning classical operators. We demonstrate the semigroup property as well as the boundedness of the operator in absolute continuous like spaces. In this work, some applications with graphical representation are also considered. Finally, we modify the weighted generalized Laplace transform and then applied it to the newly defined weighted fractional integral operator. The defined operator is an extension and generalization of classical Riemann-Liouville and Prabhakar integral operators. en_US
dc.description.sponsorship Natural Science Foundation of Fujian Province of China [2020J01365]; Teaching Reform Project of Fujian Provincial Education Department [FBJG20210184]; Teaching Reform Project of Longyan University [2020JGJY020] en_US
dc.description.sponsorship This work was supported by the Natural Science Foundation of Fujian Province of China (No. 2020J01365), the Teaching Reform Project of Fujian Provincial Education Department (No. FBJG20210184), and the Teaching Reform Project of Longyan University (No. 2020JGJY020). The authors would like to express sincere appreciation to the anonymous reviewers for their helpful comments and suggestions. en_US
dc.identifier.citation Wu, Shanhe...et al (2023). "SOME SYMMETRIC PROPERTIES AND APPLICATIONS OF WEIGHTED FRACTIONAL INTEGRAL OPERATOR", Fractals, Vol. 31, No. 10. en_US
dc.identifier.doi 10.1142/S0218348X2340011X
dc.identifier.issn 0218-348X
dc.identifier.issn 1793-6543
dc.identifier.scopus 2-s2.0-85141470654
dc.identifier.uri https://doi.org/10.1142/S0218348X2340011X
dc.identifier.uri https://hdl.handle.net/20.500.12416/12472
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 Mittag-Leffler Function en_US
dc.subject Symmetric Properties en_US
dc.subject Weighted Fractional Integral en_US
dc.subject Weighted Laplace Transform en_US
dc.subject Modified (K, S)-Fractional Integral en_US
dc.title Some Symmetric Properties and Applications of Weighted Fractional Integral Operator en_US
dc.title SOME SYMMETRIC PROPERTIES AND APPLICATIONS OF WEIGHTED FRACTIONAL INTEGRAL OPERATOR tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Samraiz, Muhammad/0000-0001-8480-2817
gdc.author.id Naheed, Saima/0000-0003-1984-525X
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gdc.author.wosid Samraiz, Muhammad/K-8181-2019
gdc.author.wosid Jarad, Fahd/T-8333-2018
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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 [Wu, Shanhe] Longyan Univ, Dept Math, Longyan 364012, Peoples R China; [Samraiz, Muhammad; Mehmood, Ahsan; Naheed, Saima] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkiye; [Jarad, Fahd] China Med Univ, Dept Med Res, Taichung 40402, Taiwan en_US
gdc.description.issue 10 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.volume 31 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W4311505376
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gdc.opencitations.count 4
gdc.plumx.crossrefcites 3
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gdc.virtual.author Jarad, Fahd
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