Results 41 to 50 of about 145 (127)

New Generalized the Hermite-Hadamard Inequality and Related Integral Inequalities Involving Katugampola Type Fractional Integrals [PDF]

Symmetry, 2020
In this paper, a new identity for the generalized fractional integral is defined, through which new integral inequality for functions whose first derivatives in absolute value are convex. The new generalized Hermite-Hadamard inequality for generalized convex function on fractal sets involving Katugampola type fractional integral is established.
Ohud Almutairi, Adem Kiliçman
openaire   +1 more source

A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Fractional Integral Operators

Mathematics, 2023
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

New Integral Inequalities via the Katugampola Fractional Integrals for Functions Whose Second Derivatives Are Strongly η-Convex

Mathematics, 2019
In this paper, we introduced some new integral inequalities of the Hermite⁻Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly η -convex functions via the Katugampola fractional integrals.
Seth Kermausuor, Eze R. Nwaeze, Ana M. Tameru   +2 more
doaj   +1 more source

Some Gruss-type Inequalities Using Generalized Katugampola Fractional Integral

AIMS Mathematics, 2019
The main objective of this paper is to obtain generalization of some Gruss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral.
Tariq A. Aljaaidi, Deepak B. Pachpatte
openaire   +4 more sources

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

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

HERMITE-HADAMARD TYPE INEQUALITIES FOR P-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2019
In this paper, firstly the authors establish Hermite-Hadamard inequality for p-convex functions via Katugampola fractional integrals. Then a new identity involving Katugampola fractional integrals is proved. By using this identity, some new Hermite-Hadamard type inequalities for classes of p-convex functions are obtained.
Toplu, Tekin, Set, Erhan, Iscan, Imdat, Maden, Selahattin   +3 more
openaire   +2 more sources

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

The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities

Demonstratio Mathematica, 2019
In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
doaj   +1 more source