Results 1 to 10 of about 1,761,784 (288)

On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator

Axioms, 2022
The main objective of this paper is to use the generalized proportional Hadamard fractional integral operator to establish some new fractional integral inequalities for extended Chebyshev functionals.
Vaijanath L. Chinchane, Asha B. Nale, Satish K. Panchal, Christophe Chesneau, Amol D. Khandagale   +4 more
doaj   +4 more sources

Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators [PDF]

Nonlinear Analysis
The main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul, Lakshmi Narayan Mishra, Vishnu Narayan Mishra   +2 more
doaj   +3 more sources

On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator

Axioms, 2021
In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane, Asha B. Nale, Satish K. Panchal, Christophe Chesneau   +3 more
doaj   +2 more sources

Study on Hermite-Hadamard-type inequalities using a new generalized fractional integral operator

Journal of Inequalities and Applications, 2023
In this study, a new definition of the fractional integral operator is first proposed, which generalizes some well-known fractional integral operators.
Jinbo Ni, Gang Chen, Hudie Dong
doaj   +2 more sources

Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator [PDF]

Journal of Inequalities and Applications, 2020
The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq, Aftab Khan, Gauhar Rahman, Kottakkaran Sooppy Nisar, Moheb Saad Abouzaid, Ilyas Khan   +5 more
doaj   +2 more sources

Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator

Journal of Function Spaces, 2022
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao, Ghulam Farid, Ayyaz Ahmad, Waewta Luangboon, Kamsing Nonlaopon   +4 more
doaj   +2 more sources

On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator

Heliyon
Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type.
Akhtar Abbas, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +3 more sources

Minkowski’s inequality for the AB-fractional integral operator [PDF]

Journal of Inequalities and Applications, 2019
Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics. An interesting aspect is the generalization of classical inequalities via AB-fractional integral operators. In this paper, we aim to generalize Minkowski inequality
Aziz Khan, Abdulwasea Alkhazzan, Hasib Khan   +2 more
exaly   +4 more sources

Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator

Journal of Function Spaces, 2022
In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the k,s-Riemann-Liouville fractional integral operator with the generalized ...
Majid K. Neamah, Alawiah Ibrahim, Hala Shaker Mehdy, Saleh S. Redhwan, Mohammed S. Abdo   +4 more
doaj   +1 more source

Certain new weighted estimates proposing generalized proportional fractional operator in another sense

Advances in Difference Equations, 2020
The present work investigates the applicability and effectiveness of generalized proportional fractional integral ( GPFI $\mathcal{GPFI}$ ) operator in another sense.
Thabet Abdeljawad, Saima Rashid, A. A. El-Deeb, Zakia Hammouch, Yu-Ming Chu   +4 more
doaj   +1 more source