Results 21 to 30 of about 33,681 (303)

Noncommutative fractional integrals [PDF]

Studia Mathematica, 2016
Let $\M$ be a hyperfinite finite von Nemann algebra and $(\M_k)_{k\geq 1}$ be an increasing filtration of finite dimensional von Neumann subalgebras of $\M$. We investigate abstract fractional integrals associated to the filtration $(\M_k)_{k\geq 1}$. For a finite noncommutative martingale $x=(x_k)_{1\leq k\leq n} \subseteq L_1(\M)$ adapted to $(\M_k)_{
Randrianantoanina, Narcisse, Wu, Lian
openaire   +2 more sources

Hermite–Jensen–Mercer-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Convex Function

Fractal and Fractional, 2021
Integral inequalities involving many fractional integral operators are used to solve various fractional differential equations. In the present paper, we will generalize the Hermite–Jensen–Mercer-type inequalities for an h-convex function via a Caputo ...
Miguel Vivas-Cortez, Muhammad Shoaib Saleem, Sana Sajid, Muhammad Sajid Zahoor, Artion Kashuri   +4 more
doaj   +1 more source

Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

Journal of Function Spaces, 2021
Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016).
Ahmet Ocak Akdemir, Ali Karaoğlan, Maria Alessandra Ragusa, Erhan Set   +3 more
doaj   +1 more source

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

Axioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

Generalized proportional fractional integral Hermite–Hadamard’s inequalities

Advances in Difference Equations, 2021
The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations.
Tariq A. Aljaaidi, Deepak B. Pachpatte, Thabet Abdeljawad, Mohammed S. Abdo, Mohammed A. Almalahi, Saleh S. Redhwan   +5 more
doaj   +1 more source

On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

Advances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz, Sajid Iqbal   +4 more
doaj   +1 more source

New general Grüss-type inequalities over σ-finite measure space with applications

Advances in Difference Equations, 2020
In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal, Muhammad Adil Khan, Thabet Abdeljawad, Muhammad Samraiz, Gauhar Rahman, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source

New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators

Fractal and Fractional, 2023
We propose the definitions of some fractional integral operators called k-Atangana–Baleanu fractional integral operators. These newly proposed operators are generalizations of the well-known Atangana–Baleanu fractional integral operators.
Seth Kermausuor, Eze R. Nwaeze
doaj   +1 more source

Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]

, 2012
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core   +1 more source

Perbandingan Torka Cogging Generator Integral dan Fractional untuk Pembangkit Listrik Tenaga Tenaga Angin

, 2023
ABSTRAKPenelitian ini membahas penurunan torka cogging pada generator sinkron magnet permanen untuk untuk aplikasi pada pembangkit listrik tenaga angin.
HUTAPEA, DUMA KRISTINA YANTI, MELISA MULYADI, MARCHELL MORDEKHAI HALIM, DUMA KRISTINA YANTI HUTAPEA, ANTHON DE FRETES, FRETES, ANTHON DE, YANASTANTO, GUSTIESAR ALBARRY, HALIM, MARCHELL MORDEKHAI, MULYADI, MELISA, GUSTIESAR ALBARRY YANASTANTO, TAJUDDIN NUR, NUR, TAJUDDIN   +11 more
core   +1 more source