Certain inequalities via generalized proportional Hadamard fractional integral operators

Gauhar Rahman; Thabet Abdeljawad; Fahd Jarad; Aftab Khan; Kottakkaran Sooppy Nisar

doi:10.1186/s13662-019-2381-0

Certain inequalities via generalized proportional Hadamard fractional integral operators

Gauhar Rahman
, Thabet Abdeljawad
, Fahd Jarad
, Aftab Khan
, Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

Abstract

In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals. The given results are generalizations of some known results.

Original language	English
Article number	454
Journal	Advances in Difference Equations
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13662-019-2381-0
State	Published - 1 Dec 2019

Keywords

Fractional integrals
Generalized proportional Hadamard fractional integrals
Inequalities

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10.1186/s13662-019-2381-0

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title = "Certain inequalities via generalized proportional Hadamard fractional integral operators",

abstract = "In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals. The given results are generalizations of some known results.",

keywords = "Fractional integrals, Generalized proportional Hadamard fractional integrals, Inequalities",

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AU - Rahman, Gauhar

AU - Abdeljawad, Thabet

AU - Jarad, Fahd

AU - Khan, Aftab

AU - Nisar, Kottakkaran Sooppy

PY - 2019/12/1

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N2 - In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals. The given results are generalizations of some known results.

AB - In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals. The given results are generalizations of some known results.

KW - Fractional integrals

KW - Generalized proportional Hadamard fractional integrals

KW - Inequalities

UR - https://www.scopus.com/pages/publications/85074189574

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DO - 10.1186/s13662-019-2381-0

M3 - Article

AN - SCOPUS:85074189574

SN - 1687-1839

VL - 2019

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

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ER -

Certain inequalities via generalized proportional Hadamard fractional integral operators

Abstract

Keywords

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