Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900362 | Transactions of A. Razmadze Mathematical Institute | 2018 | 18 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sajid Iqbal, Josip PeÄariÄ, Lars-Erik Persson, Zivorad Tomovski,