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

Laadjal, Zaid; Abdeljawad, Thabet; Jarad, Fahd

dc.contributor.author	Laadjal, Zaid
dc.contributor.author	Abdeljawad, Thabet
dc.contributor.author	Jarad, Fahd
dc.date.accessioned	2022-10-11T11:47:02Z
dc.date.available	2022-10-11T11:47:02Z
dc.date.issued	2020-12
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.	tr_TR
dc.identifier.issn	1687-1839
dc.identifier.uri	http://hdl.handle.net/20.500.12416/5823
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 Dρ=(1−ρ)+ρD,ρ∈[0,1], where D is the ordinary differential operator.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1186/s13662-020-03043-8	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Existence	tr_TR
dc.subject	Generalized Proportional Fractional Differential Equation	tr_TR
dc.subject	Incomplete Gamma Function	tr_TR
dc.subject	Uniqueness	tr_TR
dc.title	On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Advances in Difference Equations	tr_TR
dc.contributor.authorID	234808	tr_TR
dc.identifier.volume	2020	tr_TR
dc.identifier.issue	1	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR