On some fractional operators generated from Abel’s formula

Uğurlu, Ekin

dc.contributor.author	Uğurlu, Ekin
dc.date.accessioned	2024-04-30T12:03:08Z
dc.date.available	2024-04-30T12:03:08Z
dc.date.issued	2022
dc.identifier.citation	Uğurlu, Ekin. (2022). "On some fractional operators generated from Abel’s formula", Turkish Journal of Mathematics, Vol.46, pp.1-23.	tr_TR
dc.identifier.uri	http://hdl.handle.net/20.500.12416/8096
dc.description.abstract	This work aims to share some fractional integrals and derivatives containing three real parameters. The main tool to introduce such operators is the corresponding Abel’s equation. Solvability conditions for the Abel’s equations are shared. Semigroup properties for fractional integrals are introduced. Integration by parts rule is given. Moreover, mean value theorems and related results are shared. At the end of the paper, some directions for some fractional operators are given.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	:10.3906/mat-2010-53	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fractional Integrals	tr_TR
dc.subject	Fractional Derivatives	tr_TR
dc.subject	Mean Value Theorems	tr_TR
dc.title	On some fractional operators generated from Abel’s formula	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Turkish Journal of Mathematics	tr_TR
dc.contributor.authorID	238990	tr_TR
dc.identifier.volume	46	tr_TR
dc.identifier.startpage	1	tr_TR
dc.identifier.endpage	23	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR