Results 211 to 220 of about 4,892 (236)

Hermite–Hadamard–Fejér inequalities for generalized conformable fractional integrals

Mathematical Methods in the Applied Sciences, 2020
In this paper, we study generalized definitions of left and right conformable fractional derivative and integrals. Some applications of the generalized definition are also given for the nonlinear fractional differential equations. We also establish identities associated with the left‐ and right‐hand side of Hermite–Hadamard–Fejér inequality for ...
Sikander Mehmood, Fiza Zafar, Nusrat Yasmin   +2 more
openaire   +2 more sources

Hermite–Hadamard inequalities for Riemann–Liouville fractional integrals

Mathematica Slovaca
Abstract In this paper, we prove some new inequalities of Hermite–Hadamard type for differentiable functions with h-convex derivatives. It is also shown that the newly established inequalities are extension of the existing inequalities in the literature. Finally, we give applications of the new results and outline some future problems.
Ali Muhammad Aamir, Kórus Péter, Nápoles Valdés Juan E.   +2 more
openaire   +1 more source

Variational problems with Hadamard type fractional integrals

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014, 2014
This paper is devoted to the study of variational problems with Hadamard type fractional integrals. We present two approaches to solve such type of variational problems: indirect and direct. In the first case we derive necessary optimality conditions which reduce the problem to one involving a fractional integral equation.
Ricardo Almeida, Agnieszka B. Malinowska, M. Luisa Morgado   +2 more
openaire   +1 more source

The Hadamard Inequality For Convex Function Via Fractional Integrals

Acta Mathematica Scientia, 2013
Abstract In this paper, we establish several inequalities for some differantiable mappings that are connected with the Riemann-Liouville fractional integrals. The analysis used in the proofs is fairly elementary.
ÖZDEMİR, MUHAMET EMİN, DRAGOMIR, SEVER SILVESTRU, YILDIZ, Çetin   +2 more
openaire   +3 more sources

Hermite-Hadamard type inequalities via conformable fractional integrals

2017
New Hermite-Hadamard type inequalities for conformable fractional integrals are derived by using a new identity involving conformable fractional integrals.
Set, E., Gozpinar, A., Ekinci, A.
openaire   +5 more sources

Some new results using Hadamard fractional integral

2015
Fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order. The purpose of this work is to use Hadamard fractional integral to establish some new integral inequalities of Gruss type by using one or two parameters which ensues four main results ...
Taf, Sabrina, Brahim, Kamel
openaire   +1 more source

Nonlinear Hadamard–Pettis Fractional Integral Equations

2023
openaire   +1 more source

Hermite‐Hadamard‐type inequalities for interval‐valued coordinated convex functions involving generalized fractional integrals

Mathematical Methods in the Applied Sciences, 2021
Hasan Kara, Muhammad Aamir Ali, Hüseyin Budak   +2 more
exaly  

A New Version of the Hermite–Hadamard Inequality for Riemann–Liouville Fractional Integrals

Symmetry, 2020
Pshtiwan Mohammed, Iver Brevik
exaly  

Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya–Szegö inequality with applications

Chaos, Solitons and Fractals, 2021
Erhan Set, Artion Kashuri, İlker Mumcu
exaly