Results 41 to 50 of about 74,030 (274)

Some Entropy Bump Conditions for Fractional Maximal and Integral Operators

, 2015
We investigate weighted inequalities for fractional maximal operators and fractional integral operators. We work within the innovative framework of "entropy bounds" introduced by Treil--Volberg.
Rahm, Robert, Spencer, Scott
core   +2 more sources

On Fractional Integral Inequalities Involving Hypergeometric Operators [PDF]

Chinese Journal of Mathematics, 2014
Here we aim at establishing certain new fractional integral inequalities involving the Gauss hypergeometric function for synchronous functions which are related to the Chebyshev functional. Several special cases as fractional integral inequalities involving Saigo, Erdélyi-Kober, and Riemann-Liouville type fractional integral operators are presented in ...
Baleanu, D., Purohit, S. D., Agarwal, Praveen   +2 more
openaire   +1 more source

On Novel Fractional Integral and Differential Operators and Their Properties

Journal of Mathematics, 2023
The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential ...
Shahid Mubeen, Rana Safdar Ali, Yasser Elmasry, Ebenezer Bonyah, Artion Kashuri, Gauhar Rahman, Çetin Yildiz   +6 more
doaj   +1 more source

Certain Results Comprising the Weighted Chebyshev Function Using Pathway Fractional Integrals

Mathematics, 2019
An analogous version of Chebyshev inequality, associated with the weighted function, has been established using the pathway fractional integral operators. The result is a generalization of the Chebyshev inequality in fractional integral operators.
Aditya Mani Mishra, Dumitru Baleanu, Fairouz Tchier, Sunil Dutt Purohit   +3 more
doaj   +1 more source

A new fractional derivative involving the normalized sinc function without singular kernel

, 2017
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between
Baleanu, Dumitru, Gao, Feng, Machado, J. A. Tenreiro, Yang, Xiao-Jun   +3 more
core   +1 more source

Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators

The Scientific World Journal, 2014
In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors.
Praveen Agarwal, Soheil Salahshour, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
doaj   +1 more source

Subordination results for a fractional integral operator

Issues of Analysis, 2022
Summary: In this paper, we establish several differential subordinations regarding the operator \(D_z^{-\lambda }SR^{m,n}\) defined using the fractional integral of the differential operator \(SR^{m,n}\), obtained as a convolution product of Sălăgean operator \(S^m\) and Ruscheweyh derivative \(R^n\).
openaire   +3 more sources

Molecular bases of circadian magnesium rhythms across eukaryotes

FEBS Letters, EarlyView.
Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley   +1 more source

New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators

Fractal and Fractional
The role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq, Rekha Srivastava, Rabab Alharbi, Ruhaila Md Kasmani, Sania Qureshi   +4 more
doaj   +1 more source

On an integral and consequent fractional integral operators via generalized convexity

AIMS Mathematics, 2020
Fractional calculus operators are very useful in basic sciences and engineering. In this paper we study an integral operator which is directly related with many known fractional integral operators. A new generalized convexity namely exponentially (α, h−m)
Wenfeng He, Ghulam Farid, Kahkashan Mahreen, Moquddsa Zahra, Nana Chen   +4 more
doaj   +1 more source