Results 81 to 90 of about 27,980 (166)

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, Akdemir, Ahmet Ocak, Belirlenecek, [Mumcu, Ilker -- Set, Erhan] Ordu Univ, Dept Math, Fac Sci & Arts, Ordu, Turkey -- [Akdemir, Ahmet Ocak] Agri Ibrahim Cecen, Dept Math, Fac Sci & Arts, Agri, Turkey   +5 more
openaire   +3 more sources

Weighted Inequalities of Milne‐Type and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this study, weighted Milne‐type inequalities are derived for classical integrals, and by selecting special weight functions, several Milne‐type inequalities are presented for well‐known fractional integrals, such as Riemann–Liouville fractional integrals, conformable fractional integrals, and tempered fractional integrals.
Hüseyin Budak, Marko Kostic
wiley   +1 more source

The non-uniqueness of solution for initial value problem of impulsive differential equations involving higher order Katugampola fractional derivative

Advances in Difference Equations, 2020
In this paper we consider the initial value problem for some impulsive differential equations with higher order Katugampola fractional derivative (fractional order q ∈ ( 1 , 2 ] $q \in (1,2]$ ).
Xian-Min Zhang
doaj   +1 more source

A Novel Computational Technique for Numerical Approximation of Nonlinear Fractional Dynamical Systems: Convergence and Efficiency Analysis

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this work, we study a family of nonlinear fractional dynamical systems and propose a numerical procedure based on the power series iterative method (PSIM). The systems are formulated in terms of the Atangana–Baleanu–Caputo (ABC) fractional derivative, which is well‐suited to the modeling of memory and nonlocal effects.
Faten H. Damag, Amin Saif, Mohammed Alsharafi, Lakhlifa Sadek   +3 more
wiley   +1 more source

On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis

Advances in Difference Equations, 2021
This research is conducted for studying some qualitative specifications of solution to a generalized fractional structure of the standard snap boundary problem.
Mohammad Esmael Samei, Mohammed M. Matar, Sina Etemad, Shahram Rezapour   +3 more
doaj   +1 more source

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha, Linda Alzaben, Asıf Yokus   +2 more
wiley   +1 more source

Analytical Investigation of Fractional Nonlinear Systems in Compact‐Open Banach Spaces: Applications in the Chemical Wave Propagation Theory

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag, Khaled M. Saad, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Smritijit Sen   +5 more
wiley   +1 more source

Some Novel Inclusions for Interval‐Valued s‐Convex Functions in the Second Sense Involving Caputo–Fabrizio Integrals

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the class of interval‐valued s‐convex functions in the second sense sIVC2 using Caputo–Fabrizio CF integrals. Some generalizations of the Hermite–Hadamard HH‐type, Hermite–Hadamard–Fejér HHF‐type, and Hermite–Hadamard–Mercer HHM‐type inclusions involving the CF integrals are developed.
Ammara Nosheen, Khuram Ali Khan, Mariam Aslam, Atiq ur Rehman, Demco K. Mukongo, Smritijit Sen   +5 more
wiley   +1 more source

Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral

Revista Integración, 2018
In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Jorge E. Hernández H., Juan Francisco Gómez   +1 more
doaj  

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