Results 21 to 30 of about 227,281 (268)

Integral inequalities for some convex functions via generalized fractional integrals

Journal of Inequalities and Applications, 2018
In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
doaj   +1 more source

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   +1 more source

Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]

, 2009
In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral ...
Gorosito, Osvaldo, Pradolini, Gladis, Salinas, Oscar   +2 more
core   +3 more sources

Nabla Fractional Derivative and Fractional Integral on Time Scales [PDF]

Axioms, 2021
In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.
Bikash Gogoi, Utpal Kumar Saha, Bipan Hazarika, Delfim F. M. Torres, Hijaz Ahmad   +4 more
openaire   +4 more sources

E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES

Проблемы анализа, 2020
Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
doaj   +1 more source

Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators

Fractal and Fractional, 2019
The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor, Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

Generalized proportional fractional integral functional bounds in Minkowski’s inequalities

Advances in Difference Equations, 2021
In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi, Deepak B. Pachpatte, Wasfi Shatanawi, Mohammed S. Abdo, Kamaleldin Abodayeh   +4 more
doaj   +1 more source

Hardy's Inequality for the fractional powers of Grushin operator

, 2016
We prove Hardy's inequality for the fractional powers of the generalized sublaplacian and the fractional powers of the Grushin operator. We also find an integral representation and a ground state representation for the fractional powers of generalized ...
Boris-Marko Kukovec (2131279), Clive L. Oliver (1974418), Gerhard A. Venter (2131276)   +2 more
core   +6 more sources

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

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   +1 more source

Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

, 2017
We explore the connection between fractional order partial differential equations in two or more spatial dimensions with boundary integral operators to develop techniques that enable one to efficiently tackle the integral fractional Laplacian.
AA Golovin, AH Stroud, Alexandre Ern, BJ West, IG Graham, IH Sloan, IH Sloan, Krzysztof Bogdan, L Caffarelli, LR Scott, M D’Elia, Mark Ainsworth, Mark Ainsworth, MG Duffy, MM Meerschaert, P Ciarlet, Raffaella Servadei, RH Nochetto, RK Getoor, S Erichsen, SA Silling, Stefan A. Sauter, T Koto, W Hackbusch, WCH McLean, Y Yan, ZQ Chen   +26 more
core   +1 more source