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Weighted Hardy-type inequalities involving convex function for fractional calculus operators
Department of Mathematics, University of Sargodha (Sub-Campus Mianwali), Mianwali, Pakistan.
Faculty of Textile Technology, University of Zagreb, Croatia.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. UIT The Artic University of Norway.
aculty of Mathematics and Natural Sciences, Macedonia.
2018 (English)In: Transactions of A. Razmadze Mathematical Institute, ISSN 2346-8092Article in journal (Refereed) Epub ahead of print
Abstract [en]

The aim of this paper is to establish some new weighted Hardy-type inequalities involving convex and monotone convex functions using Hilfer fractional derivative and fractional integral operator with generalized Mittag-Leffler function in its kernel. We also discuss one dimensional cases of our related results. As a special case of our general results we obtain the results of Iqbal et al. (2017). Moreover, the refinement of Hardy-type inequalities for Hilfer fractional derivative is also included.

Place, publisher, year, edition, pages
Elsevier, 2018.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-67224DOI: 10.1016/j.trmi.2017.12.001OAI: oai:DiVA.org:ltu-67224DiVA, id: diva2:1172589
Available from: 2018-01-10 Created: 2018-01-10 Last updated: 2018-01-25

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