Results 61 to 70 of about 397,746 (163)

Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa, Safa M. Mirgani, Khaled Zennir, Keltoum Bouhali, Jagan Mohan Jonnalagadda   +4 more
wiley   +1 more source

New Fractional Hermite–Hadamard-Type Inequalities for Caputo Derivative and MET-(p, s)-Convex Functions with Applications

Fractal and Fractional
This article investigates fractional Hermite–Hadamard integral inequalities through the framework of Caputo fractional derivatives and MET-(p,s)-convex functions.
Muhammad Sajid Zahoor, Amjad Hussain, Yuanheng Wang   +2 more
doaj   +1 more source

Recovering the space source term for the fractional-diffusion equation with Caputo–Fabrizio derivative

Journal of Inequalities and Applications, 2021
This article is devoted to the study of the source function for the Caputo–Fabrizio time fractional diffusion equation. This new definition of the fractional derivative has no singularity. In other words, the new derivative has a smooth kernel.
Le Nhat Huynh, Nguyen Hoang Luc, Dumitru Baleanu, Le Dinh Long   +3 more
doaj   +1 more source

New General Integral Inequalities for Polynomial Convexity in the Framework of k‐Riemann–Liouville Fractional Operators

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k‐Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing literature concerning the concept of inequality.
Çetin Yıldız, Ferhat Polat, Fady Hasan, Nabil Mlaiki, Oluwole D. Makinde   +4 more
wiley   +1 more source

Implicit cubic B-spline scheme for the fractional Black-Scholes model with Caputo-Hadamard derivative [PDF]

Journal of Mahani Mathematical Research
In this study, we introduce a novel numerical scheme for solving the Black–Scholes equation endowed with a Caputo-Hadamard fractional time derivative. The temporal derivative is discretized via a finite-difference approach, ensuring both stability and ...
Roya Montazeri
doaj   +1 more source

Existence and Uniqueness of Solutions to Initial Value Problems of High‐Order Fractional Fuzzy Differential Equations

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
High‐order fractional fuzzy differential equations show great potential in modeling complex systems with memory effects and uncertainty. Existing qualitative theories seldom involve both Caputo‐type strongly generalized Hukuhara differentiability and coupled integral operators on infinite intervals. This paper presents a systematic investigation of the
Yanli Xi, Wenbin Bao, Mohammad Rezwan Habib   +2 more
wiley   +1 more source

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, Muhammad Samraiz, Gauhar Rahman, Mohammad Sediq Safi, Aliaa Burqan   +6 more
wiley   +1 more source

On numerical techniques for solving the fractional logistic differential equation

Advances in Difference Equations, 2019
This paper studied the existence and uniqueness of the solution of the fractional logistic differential equation using Hadamard derivative and integral. Previous work has shown that there is not an exact solution to this fractional model.
Yves Yannick Yameni Noupoue, Yücel Tandoğdu, Muath Awadalla   +2 more
doaj   +1 more source

Weighted Spectral Properties of a Hadamard‐Type Fractional Operator

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we investigate a class of Hadamard‐type fractional operators from the viewpoint of functional analysis and spectral theory. The analysis is carried out on the bounded interval (1, R) within the weighted Hilbert space L2((1, R), dx/x), which naturally arises from the logarithmic structure associated with the Hadamard fractional derivative.
Muath Awadalla, Maryam G. Alshehri, Pengyu Chen   +2 more
wiley   +1 more source

Hyers–Ulam Stability of Hadamard Fractional Stochastic Differential Equations With Time Delay

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
We study the Hyers–Ulam stability of Hadamard fractional stochastic differential equations with a constant time delay, in which both the drift and the diffusion coefficients depend on the current state ϱ(κ) and on the delayed state ϱ(κ − τ), and the solution is subject to a prescribed history on [1 − τ, 1] together with a singular Hadamard‐type initial
Hend Aljahani, Foued Mtiri, Hamed Ould Sidi, Omar Naifar, Abdellatif Ben Makhlouf, Xian-Ming Gu   +5 more
wiley   +1 more source