Hardy-type inequalities within fractional derivatives without singular kernel

Hardy-type inequalities within fractional derivatives without singular kernel

Abstract In this manuscript, we developed the Hardy-type inequality within the Caputo–Fabrizio fractional derivative. We presented some illustrative examples to confirm our work.

Bibliographic Details
Main Authors: Yasemin Başcı, Dumitru Baleanu
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Journal of Inequalities and Applications
Subjects:
Hardy-type inequality
Caputo–Fabrizio fractional derivative
Online Access:http://link.springer.com/article/10.1186/s13660-018-1893-6
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spelling doaj-0e61211f475b4ca0b271aec6e1499beb2020-11-25T01:24:07ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-11-012018111110.1186/s13660-018-1893-6Hardy-type inequalities within fractional derivatives without singular kernelYasemin Başcı0Dumitru Baleanu1Department of Mathematics, Faculty of Arts and Sciences, Bolu Abant Izzet Baysal UniversityDepartment of Mathematics, Faculty of Arts and Sciences, Çankaya UniversityAbstract In this manuscript, we developed the Hardy-type inequality within the Caputo–Fabrizio fractional derivative. We presented some illustrative examples to confirm our work.http://link.springer.com/article/10.1186/s13660-018-1893-6Hardy-type inequalityCaputo–Fabrizio fractional derivative
collection DOAJ
language English
format Article
sources DOAJ
author Yasemin Başcı
Dumitru Baleanu
spellingShingle Yasemin Başcı
Dumitru Baleanu
Hardy-type inequalities within fractional derivatives without singular kernel
Journal of Inequalities and Applications
Hardy-type inequality
Caputo–Fabrizio fractional derivative
author_facet Yasemin Başcı
Dumitru Baleanu
author_sort Yasemin Başcı
title Hardy-type inequalities within fractional derivatives without singular kernel
title_short Hardy-type inequalities within fractional derivatives without singular kernel
title_full Hardy-type inequalities within fractional derivatives without singular kernel
title_fullStr Hardy-type inequalities within fractional derivatives without singular kernel
title_full_unstemmed Hardy-type inequalities within fractional derivatives without singular kernel
title_sort hardy-type inequalities within fractional derivatives without singular kernel
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2018-11-01
description Abstract In this manuscript, we developed the Hardy-type inequality within the Caputo–Fabrizio fractional derivative. We presented some illustrative examples to confirm our work.
topic Hardy-type inequality
Caputo–Fabrizio fractional derivative
url http://link.springer.com/article/10.1186/s13660-018-1893-6
work_keys_str_mv AT yaseminbascı hardytypeinequalitieswithinfractionalderivativeswithoutsingularkernel
AT dumitrubaleanu hardytypeinequalitieswithinfractionalderivativeswithoutsingularkernel
_version_ 1725118659621289984

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