New estimates considering the generalized proportional Hadamard fractional integral operators

Zhou, Shuang-Shuang; Rashid, Saima; Jarad, Fahd; Kalsoom, Humaira; Chu, Yu-Ming

dc.contributor.author	Zhou, Shuang-Shuang
dc.contributor.author	Rashid, Saima
dc.contributor.author	Jarad, Fahd
dc.contributor.author	Kalsoom, Humaira
dc.contributor.author	Chu, Yu-Ming
dc.date.accessioned	2022-07-07T11:45:13Z
dc.date.available	2022-07-07T11:45:13Z
dc.date.issued	2020-12-01
dc.identifier.citation	Zhou, Shuang-Shuang...et al. (2020). "New estimates considering the generalized proportional Hadamard fractional integral operators", Advances in Difference Equations, Vol. 2020, No. 1.	tr_TR
dc.identifier.issn	1687-1839
dc.identifier.uri	http://hdl.handle.net/20.500.12416/5714
dc.description.abstract	In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integral operators with nonlocal kernel have diversified applications. Our obtained results show the computed outcomes for an exceptional choice to the GPHF integral operator with parameter and the proportionality index. Additionally, we illustrate two examples that can numerically approximate these operators. © 2020, The Author(s).	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1186/s13662-020-02730-w	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fractional Calculus	tr_TR
dc.subject	Generalized Proportional Hadamard Fractional Integral Operator	tr_TR
dc.subject	Grüss Inequality	tr_TR
dc.subject	Riemann–Liouville Fractional Integral Operator	tr_TR
dc.title	New estimates considering the generalized proportional Hadamard fractional integral operators	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