Results 61 to 70 of about 377,310 (165)

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

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

Numerical methods for fractional differential equations by new caputo and hadamard types operators [PDF]

, 2020
Fractional ordinary differential equation (FODE) and fractional partial differential equation (FPDE) emerges in various modelling of physics phenomena. Over past decades, several fractional derivative and operator has been introduced such as Caputo-
Toh, Yoke Teng
core   +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

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

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

Observer Design for Fractional-Order Polynomial Fuzzy Systems Depending on a Parameter

Fractal and Fractional
For fractional-order systems, observer design is remarkable for the estimation of unavailable states from measurable outputs. In addition, the nonlinear dynamics and the presence of parameters that can vary over different operating conditions or time ...
Hamdi Gassara, Mohamed Rhaima, Lassaad Mchiri, Abdellatif Ben Makhlouf   +3 more
doaj   +1 more source

Solvability of Tripled Langevin Fractional Differential Systems Involving ψ‐Caputo Derivatives Using Fixed Point Techniques

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This work is devoted to the study of a nonlinear tripled system of Langevin‐type fractional differential equations involving generalized ψ‐Caputo derivatives in the setting of Banach spaces. The proposed framework extends several existing results from finite‐dimensional and specialized functional spaces to more general infinite‐dimensional environments.
Hasanen A. Hammad, Manal Elzain Mohamed Abdalla, Bilal Bilalov   +2 more
wiley   +1 more source

Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation

Nonlinear Analysis
By deriving the expression of Green function and some of its special properties and establishing appropriate substitution and appropriate cone, the existence of unique iterative positive, error estimation, and convergence rate of approximate solution ...
Limin Guo, Cheng Li, Nan Qiao, Jingbo Zhao   +3 more
doaj   +1 more source

Milne‐Type Inequalities in the Context of Conformable Fractional Multiplicative Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper examines Milne inequalities in the setting of conformal fractional multiplicative integrals, which represent a modern extension of traditional fractional calculus. Drawing on advances in multiplicative analysis and non‐Newtonian calculus, we establish a new integral identity that forms the basis for deriving Milne‐type inequalities for ...
İrem Çay, Hüseyin Budak, İrem Bağlan, Alberto Fiorenza   +3 more
wiley   +1 more source