Results 71 to 80 of about 145 (127)

Qualitative Analysis of a Coupled Fractional‐Order System Under Generalized Weighted Caputo Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates a new class of coupled fractional‐order systems driven by the generalized weighted fractional operator in the Caputo sense, recently introduced with a modified Mittag‐Leffler kernel and an auxiliary strictly increasing function φ. This operator provides a unified framework that recovers many well‐known fractional derivatives and
Fawziah M. Alotaibi, Smritijit Sen
wiley   +1 more source

Inequalities Involving Multiplicative Katugampola Fractional Integrals

International Journal of Applied Mathematics
This paper introduces a new class of multi-parameter integral inequalities within the framework of multiplicative Katugampola fractional operator. By establishing parameter-dependent integral identities, several generalized forms of classical inequalities are derived for functions satisfying various convexity conditions.
openaire   +1 more source

A New Double Transform for Nonconformable Derivatives

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we present the nonconformable fractional derivative of the double Sumudu transformation. In this study, we investigate the main features and benefits of this new technique and then apply it to solve several fractional nonconformable partial differential equations.
Shams A. Ahmed, Tarig M. Elzaki, Nikhil Khanna   +2 more
wiley   +1 more source

Extension of Hermite-Hadamard type inequalities to Katugampola fractional integrals

International Journal of Advances in Applied Sciences
In this study, we introduce several new Hermite-Hadamard type general integral inequalities for exponentially (s,m)-convex functions via Katugampola fractional integral. The Katugampola fractional integral is a broader form of the Riemann–Liouville and Hadamard fractional integrals. We utilized the power mean integral inequality, the H¨older inequality
Dipak Kr Das, Shashi Kant Mishra, Pankaj Kumar, Abdelouahed Hamdi   +3 more
openaire   +1 more source

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

Incremental parameterized-kernel fractional operators: theory, novel Banach spaces, and machine learning applications

Ain Shams Engineering Journal
This paper presents a new class of Incremental Parameterized–Kernel (IPK) fractional derivative and integral operators that improve modeling of complex dynamical systems.
Tahir Ullah Khan, Christine Markarian
doaj   +1 more source

Generalized Hermite-Hadamard Type Inequalities Related to Katugampola Fractional Integrals

OALib, 2020
In this paper, we have established a new identity related to Katugampola fractional integrals which generalize the results given by Topul et al. and Sarikaya and Budak. To obtain our main results, we assume that the absolute value of the derivative of the considered function φ' is p-convex.
openaire   +1 more source

Novel Grüss-Type and Related Integral Inequalities via the Cotangent Fractional Integral with Respect to Another Function

Fractal and Fractional
This article investigates new classes of integral inequalities within the framework of a recently introduced fractional operator: the cotangent fractional integral with respect to a rising function (RAF) ℵ. The cornerstone of this study is the derivation
Ibtehal Alazman, Lakhlifa Sadek, Ahmad Shafee, Khalid Aldawsari   +3 more
doaj   +1 more source

Some new Milne-type inequalities via Katugampola fractional integrals

Filomat
Drawing inspiration from the findings presented in references [10] and [16], this study aims to broaden the scope of Milne-type inequalities within the context of Katugampola fractional integrals, thus enriching the toolbox of fractional calculus.
Wedad Saleh, Abdelghani Lakhdari, Badreddine Meftah   +2 more
openaire   +2 more sources

A novel comparative case study of entropy generation for natural convection flow of proportional-Caputo hybrid and Atangana baleanu fractional derivative. [PDF]

Sci Rep, 2021
Khan D, Kumam P, Watthayu W.
europepmc   +1 more source