Certain Weighted Fractional Inequalities via the Caputo-Fabrizio Approach

被引：3

作者：

Chinchane, Vaijanath L. ^{[1
]}

Nale, Asha B. ^{[2
]}

Panchal, Satish K. ^{[2
]}

Chesneau, Christophe ^{[3
]}

机构：

[1] Deogiri Inst Engn & Management Studies, Dept Math, Aurangabad 431005, Maharashtra, India

[2] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, Maharashtra, India

[3] Univ Caen Normandie, Dept Math, F-14000 Caen, France

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 09期

关键词：

inequalities; Caputo-Fabrizio fractional integral operator; weighted fractional inequalities; INTEGRAL-INEQUALITIES;

D O I：

10.3390/fractalfract6090495

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Caputo-Fabrizio fractional integral operator is one of the important notions of fractional calculus. It is involved in numerous illustrative and practical issues. The main goal of this paper is to investigate weighted fractional integral inequalities using the Caputo-Fabrizio fractional integral operator with non-singular e(-) ((1-delta/delta) (k-s)()), 0 < delta < 1. Furthermore, based on a family of n positive functions defined on [0, infinity), we investigate some new extensions of weighted fractional integral inequalities.

引用

页数：10

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