Results 81 to 90 of about 25,337 (192)

A new truncated $M$-fractional derivative type unifying some fractional derivative types with classical properties [PDF]

, 2017
We introduce a truncated $M$-fractional derivative type for $\alpha$-differentiable functions that generalizes four other fractional derivatives types recently introduced by Khalil et al., Katugampola and Sousa et al., the so-called conformable ...
de Oliveira, E. Capelas, Sousa, J. Vanterler da C.   +1 more
core   +3 more sources

Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions

, 2019
In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions.
Dragomir, Silvestru Sever, Torebek, Berikbol T.   +1 more
core   +1 more source

Generalized fractional inequalities of the Hermite-Hadamard type for convex stochastic processes [PDF]

, 2020
A generalization of the Hermite–Hadamard (HH) inequality for a positive convex stochastic process, by means of a newly proposed fractional integral operator, is hereby established.
Nwaeze, Eze R., Omaba, McSylvester Ejighikeme   +1 more
core   +1 more source

Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming

Asian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.
Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari, Vivekananda Rayanki, Izhar Ahmad   +2 more
wiley   +1 more source

A comprehensive review of Grüss-type fractional integral inequality

AIMS Mathematics
A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville ...
Muhammad Tariq, Sotiris K. Ntouyas, Hijaz Ahmad , Asif Ali Shaikh, Bandar Almohsen , Evren Hincal   +5 more
doaj   +1 more source

On the weighted fractional integral inequalities for Chebyshev functionals

Advances in Difference Equations, 2021
The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Sami Ullah Khan, Dumitru Baleanu, V. Vijayakumar   +4 more
doaj   +1 more source

Study of HIV model via recent improved fractional differential and integral operators

AIMS Mathematics, 2023
In this article, a new fractional mathematical model is presented to investigate the contagion of the human immunodeficiency virus (HIV). This model is constructed via recent improved fractional differential and integral operators.
Abd-Allah Hyder , Mohamed A. Barakat , Doaa Rizk, Rasool Shah, Kamsing Nonlaopon   +4 more
doaj   +1 more source

An approximation formula for the Katugampola integral [PDF]

, 2015
The objective of this paper is to present an approximation formula for the Katugampola fractional integral, that allows us to solve fractional problems with dependence on this type of fractional operator.
Almeida, Ricardo, Bastos, Nuno R.O.
core   +1 more source

Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals

, 2018
The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel.
Ahmad, Bashir, Alsaedi, Ahmed, Kirane, Mokhtar, Torebek, Berikbol T.   +3 more
core   +1 more source

Comparison of Integer‐, Constant‐, and Variable‐Order Fractional Models of Competition for Student Population Using Caputo–Fabrizio Fractional Derivative With Policy Interventions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study develops constant‐order (CO) and variable‐order (VO) Caputo–Fabrizio (CF) fractional derivative (CFFD) models to extend the classical integer‐order framework for analyzing competition among public, private, and nonenrolled student populations under varying policy intervention intensities.
Kiprotich Ezra Bett, Cyrus Gitonga Ngari, Grace Gakii Muthuri, Kareem Elgindy   +3 more
wiley   +1 more source