Results 71 to 80 of about 377,310 (165)

Systems of mutually unbiased Hadamard matrices containing real and complex matrices [PDF]

, 2013
We use combinatorial and Fourier analytic arguments to prove various non-existence results on systems of real and com- plex unbiased Hadamard matrices.
Matolcsi, Máté, Weiner, Mihály, Ruzsa, Z. Imre   +2 more
core   +1 more source

Existence and Stability Theorems for Implicit Neutral Fractional Integrodifferential Equations With Computational Results

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla, Hasanen A. Hammad, Tarek Aboelenen, Mohammed S. Abdo   +3 more
wiley   +1 more source

Fractional Integral Inequalities via Caputo k‐Derivatives for Generalized Strongly Modified h‐Convex Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper is devoted to the investigation of new fractional integral (FI) inequalities involving Caputo k‐fractional derivatives (CKFDs) for functions whose higher order derivatives satisfy the generalized strongly modified h‐convexity (GSMHC) condition. By combining the analytical properties of generalized convexity with the framework of k‐fractional
Mohammed Said Souid, Halim Benali, Sabri T. M. Thabet, Taoufik Moulahi, Al-Taweel Ahmed   +4 more
wiley   +1 more source

Discrete Legendre polynomials method to solve the coupled nonlinear Caputo–Hadamard fractional Ginzburg–Landau equations

Results in Physics
This paper employs the Caputo–Hadamard derivative to create the coupled nonlinear fractional Ginzburg–Landau equations. An orthonormal version of the discrete Legendre polynomials is utilized to generate a numerical strategy for this system.
M.H. Heydari, D. Baleanu, M. Bayram
doaj   +1 more source

An analogue of Leibniz’s rule for Hadamard derivatives and their application

Қарағанды университетінің хабаршысы. Математика сериясы
This paper explores new analogues of the Leibniz rule for Hadamard and Caputo–Hadamard fractional derivatives. Unlike classical derivatives, fractional ones have a strong nonlocal character, meaning that the value of the derivative at a given point ...
A.G. Smadiyeva
doaj   +1 more source

Dynamics of the Caputo fractional derivative [PDF]

In this article we analyse the dynamical behaviour of the Caputo complex fractional derivative. We prove that the Caputo complex fractional derivative operator is Devaney chaotic in the Mittag-Leffler Caputo space.
Murillo-Arcila, Marina, Vargas Moreno, Álvaro, Vargas-Moreno, Álvaro, Murillo Arcila, Marina, Peris Manguillot, Alfredo, Peris, A.   +5 more
core   +1 more source

Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses

Boundary Value Problems
In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative ...
Mesfin Teshome Beyene, Mitiku Daba Firdi, Tamirat Temesgen Dufera   +2 more
doaj   +1 more source

A numerical framework based on piecewise Chebyshev cardinal functions for fractional integro-differential equations

Results in Applied Mathematics
In this study, we develop an operational matrix technique to address a set of fractional nonlinear integro-differential equations with the Caputo–Hadamard derivative. We utilize a family of the piecewise Chebyshev cardinal functions as basis functions in
S. Mansoori Aref, M.H. Heydari, M. Bayram   +2 more
doaj   +1 more source

Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method

Fractal and Fractional
The aim of this article is to introduce analytical and approximate techniques to obtain the solution of time-fractional Navier–Stokes equations. This proposed technique consists is coupling the homotopy perturbation method (HPM) and Laplace transform (LT)
Awatif Muflih Alqahtani, Hamza Mihoubi, Yacine Arioua, Brahim Bouderah   +3 more
doaj   +1 more source

High Order Approximation to Caputo Derivative On Graded Mesh and Time-Fractional Diffusion Equation for Non-smooth Solutions

In this paper, a high-order approximation to Caputo-type time-fractional diffusion equations involving an initial-time singularity of the solution is proposed.
Kumari, Shweta, Singh, Abhishek Kumar, Mehandiratta, Vaibhav, Mehra, Mani   +3 more
core   +1 more source