New aspects of Opial-type integral inequalities

Autor:	Yasemin Başcı, Dumitru Baleanu
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Opial-type inequality The left operator The right operator The left integral The right integral Caputo–Fabrizio fractional derivative Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-11 (2018)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-018-1912-4
Popis:	Abstract In this manuscript, we prove new aspects for several Opial-type integral inequalities for the left and right Caputo–Fabrizio operators with nonsingular kernel. For this purpose we use the inequalities obtained by Andrić et al. (Integral Transforms Spec. Funct. 25(4):324–335, 2014), which is the generalization of an inequality of Agarwal and Pang (Opial Inequalities with Applications in Differential and Difference Equations, 1995). Besides, examples are presented to validate the reported results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7503a2f1fad1418d965a24495078e1d4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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