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On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions

dc.authorid Laadjal, Zaid/0000-0003-1627-2898
dc.authorid Abdeljawad, Thabet/0000-0002-8889-3768
dc.authorscopusid 57200968805
dc.authorscopusid 6508051762
dc.authorscopusid 15622742900
dc.authorwosid Jarad, Fahd/T-8333-2018
dc.authorwosid Laadjal, Zaid/Aeq-4744-2022
dc.authorwosid Abdeljawad, Thabet/T-8298-2018
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Laadjal, Zaid
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Jarad, Fahd
dc.contributor.author Jarad, Fahd
dc.contributor.authorID 234808 tr_TR
dc.date.accessioned 2022-10-11T11:47:02Z
dc.date.available 2022-10-11T11:47:02Z
dc.date.issued 2020
dc.department Çankaya University en_US
dc.department-temp [Laadjal, Zaid] Abbes Laghrour Univ, Dept Math & Comp Sci, ICOSI Lab, Khenchela 40004, Algeria; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey en_US
dc.description Laadjal, Zaid/0000-0003-1627-2898; Abdeljawad, Thabet/0000-0002-8889-3768 en_US
dc.description.abstract In this article, we employ the lower regularized incomplete gamma functions to demonstrate the existence and uniqueness of solutions for fractional differential equations involving nonlocal fractional derivatives (GPF derivatives) generated by proportional derivatives of the form D-rho=(1-rho)+rho D, rho is an element of[0,1], (1) where D is the ordinary differential operator. en_US
dc.description.publishedMonth 12
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citation Laadjal, Zaid; Abdeljawad, Thabet; Jarad, Fahd (2020). "On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions", Advances in Difference Equations, Vol. 2020, No. 1. en_US
dc.identifier.doi 10.1186/s13662-020-03043-8
dc.identifier.issn 1687-1847
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-85096004085
dc.identifier.scopusquality N/A
dc.identifier.uri https://doi.org/10.1186/s13662-020-03043-8
dc.identifier.volume 2020 en_US
dc.identifier.wos WOS:000594859800001
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Springer 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 16
dc.subject Incomplete Gamma Function en_US
dc.subject Generalized Proportional Fractional Differential Equation en_US
dc.subject Existence en_US
dc.subject Uniqueness en_US
dc.title On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions tr_TR
dc.title On Existence-Uniqueness Results for Proportional Fractional Differential Equations and Incomplete Gamma Functions en_US
dc.type Article en_US
dc.wos.citedbyCount 12
dspace.entity.type Publication
relation.isAuthorOfPublication ab09a09b-0017-4ffe-a8fe-b9b0499b2c01
relation.isAuthorOfPublication c818455d-5734-4abd-8d29-9383dae37406
relation.isAuthorOfPublication.latestForDiscovery ab09a09b-0017-4ffe-a8fe-b9b0499b2c01

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