Results 41 to 50 of about 545,475 (201)

Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative

Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2023
Summary: This paper is devoted to the existence and uniqueness of solution to a class of Hadamard fractional differential equation under fractional Sobolev spaces. A novel form of fractional Sobolev space via Hadamard fractional operator is well proposed and related properties are also proved. Furthermore, a variational formulation of considered system
Benmeddour, M. O., Saadi, A., Arioua, Y.
openaire   +2 more sources

On Observer and Controller Design for Nonlinear Hadamard Fractional-Order One-Sided Lipschitz Systems

Fractal and Fractional
This paper presents an extensive investigation into the state feedback stabilization, observer design, and observer-based controller design for a specific category of nonlinear Hadamard fractional-order systems.
Assaad Jmal, Omar Naifar, Mohamed Rhaima, Abdellatif Ben Makhlouf, Lassaad Mchiri   +4 more
doaj   +1 more source

Constructions of complex hadamard matrices via tiling abelian groups [PDF]

, 2007
Applications in quantum information theory and quantum tomography have raised current interest in complex Hadamard matrices. In this note we investigate the connection between tiling of Abelian groups and constructions of complex Hadamard matrices ...
Matolcsi, Máté, Szöllősi, Frerenc, Réffy, Júlia   +2 more
core   +1 more source

A Generalized Lyapunov Inequality for a Pantograph Boundary Value Problem Involving a Variable Order Hadamard Fractional Derivative

Mathematics, 2023
The authors obtain existence and uniqueness results for a nonlinear fractional pantograph boundary value problem containing a variable order Hadamard fractional derivative. This type of model is appropriate for applications involving processes that occur
John R. Graef, Kadda Maazouz, Moussa Daif Allah Zaak   +2 more
doaj   +1 more source

Exploring Quantum Support Vector Regression for Predicting Hydrogen Storage Capacity of Nanoporous Materials

Advanced Intelligent Discovery, EarlyView.
In this study we employed support vector regressor and quantum support vector regressor to predict the hydrogen storage capacity of metal–organic frameworks using structural and physicochemical descriptors. This study presents a comparative analysis of classical support vector regression (SVR) and quantum support vector regression (QSVR) in predicting ...
Chandra Chowdhury
wiley   +1 more source

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source

Controllability and Observability Conditions for Impulsive DAEs on Time Scales

Asian Journal of Control, EarlyView.
ABSTRACT This paper establishes criteria for controllability and observability in a class of linear time‐invariant impulsive differential‐algebraic equations (DAEs) defined on a time scale. Controllability is defined as the ability to transfer the system state from any initial condition to any desired state within a finite time interval using an ...
Awais Younus, Zoubia Dastgeer, Thabet Abdeljawad, Meriem Louafi   +3 more
wiley   +1 more source

Existence of solutions for a system of Hilfer–Hadamard fractional sequential boundary value problems

Boundary Value Problems
This study establishes sufficient conditions for existence of positive solutions of three-variable functions with Hadamard fractional integrals and sequential integral boundary conditions governed by the nonlinear Hilfer–Hadamard fractional derivative ...
Hasan Rasouli, Ravi P. Agarwal, Silvestru Sever Dragomir   +2 more
doaj   +1 more source

Monotone iterative sequences for positive solutions of a p-Laplacian Hadamard fractional boundary value problem on an unbounded domain

Nonlinear Analysis
In this paper, we ensure the existence and uniqueness of positive solutions for a Hadamard fractional boundary value problem with the p-Laplacian operator on an unbounded domain. The problem is formulated as a nonlinear differential equation involving a
Fulya Yoruk Deren, Tugba Senlik Cerdik, Ravi P. Agarwal   +2 more
doaj   +1 more source

Optimal Design of Elastic Plates: Hybrid Numerical Method Based on Homogenization and Shape Derivative

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper focuses on optimal design problems in the context of the Kirchhoff‐Love model for pure bending of a thin, solid, symmetric plate under a transverse load. The objective is to simultaneously determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain in order to minimize compliance.
Ivana Crnjac, Jelena Jankov Pavlović, Petar Kunštek   +2 more
wiley   +1 more source