Results 51 to 60 of about 463 (144)

Hermite-Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals [PDF]

Miskolc Mathematical Notes, 2019
In this work, firstly, we established Hermite-Hadamard's inequalities for harmonically convex functions via Katugampola fractional integrals. Then we give some Hermite-Hadamard type inequalities of these classes functions.
Mumcu, Ilker, Set, Erhan, Akdemir, Ahmet Ocak   +2 more
openaire   +4 more sources

Generalized Taylor formulas involving generalized fractional derivatives

, 2017
In this paper, we establish a generalized Taylor expansion of a given function $f$ in the form $\displaystyle{f(x) = \sum_{j=0}^m c_j^{\alpha,\rho}\left(x^\rho-a^\rho\right)^{j\alpha} + e_m(x)}$ \noindent with $m\in \mathbb{N}$, $c_j^{\alpha,\rho}\in
Benjemaa, Mondher
core   +1 more source

On Katugampola-Prabhakar fractional integral-differential operators

Gulf Journal of Mathematics
This work systematically investigates the Katugampola-Prabhakar (K-P) fractional operators, introducing rigorous definitions for K-P integrals and integro-differential operators while establishing their fundamental properties. We develop analytical solutions to Cauchy problems for fractional ordinary differential equations incorporating K-P and Caputo ...
Kerbal, Sebti, Khasanov, Shokhzodbek
openaire   +2 more sources

Chebyshev type inequalities involving generalized Katugampola fractional integral operators

Tamkang Journal of Mathematics, 2019
A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented.Here, motivated essentially by the earlier works and their applications in diverse research subjects, we aim to establish several Chebyshev type inequalities involving generalized Katugampola fractional integral operator.
Erhan Set, Junesang Choi, \.{I}lker Mumcu   +2 more
openaire   +1 more source

Desigualdades del tipo Minkowski y Hölder con una nueva integral fraccionariaa generalizada [PDF]

, 2021
The present study is concerning about some inequalities of Minkoveski and Hölder type using a new generalized fractional integral operator of Raina's type. Using the Raina generalized function model, $ \mathcal{F}_{\rho,\lambda}^{\sigma} $, which involve
Hernández Hernández, Jorge Eliecer, Vivas-Cortez, Miguel   +1 more
core   +1 more source

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi, Mohammed Messaoudi, Thabet Abdeljawad, Fahd Jarad   +3 more
wiley   +1 more source

On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities

Mathematics
This paper presents a novel framework for Katugampola fractional multiplicative integrals, advancing recent breakthroughs in fractional calculus through a synergistic integration of multiplicative analysis. Motivated by the growing interest in fractional
Wedad Saleh, Badreddine Meftah, Muhammad Uzair Awan, Abdelghani Lakhdari   +3 more
doaj   +1 more source

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

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