Results 71 to 80 of about 545,475 (201)

Sampling Noise and Optimized Measurement Distribution in Imaginary‐Time Quantum Dynamics Simulations

Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.
Finite‐shot sampling noise fundamentally limits the accuracy and efficiency of variational quantum algorithms on near‐term quantum devices. Using noisy simulations of variational quantum imaginary‐time evolution as a representative example, an optimized shot‐allocation strategy with a minimum‐shot constraint is shown to improve convergence, enhance ...
Feng Zhang, Niladri Gomes, Joshua Aftergood, Thomas Iadecola, Yong‐Xin Yao, Peter P. Orth   +5 more
wiley   +1 more source

Initial Value Problem for Stochastic Hyprid Hadamard Fractional Differential Equation: Hyprid Hadamard

, 2019
In this paper, we discuss the existence of solutions for a stochastic initial value problem of Hyprid fractional dierential equations of Hadamard type given by                         
El-sayed, Wagdy G., El-Borai, Mahmoud Mohammed Mostafa, Sayed, Ahmed Tarek, Badr, A. A.   +3 more
core   +1 more source

The Cross‐Kernel Margin: A Robustness Measure for Quantum Kernel Methods

Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.
The cross‐kernel margin is introduced as a robustness measure for Quantum Kernel‐Assisted Support Vector Machines. This metric evaluates a classifier learned from a perturbed kernel within the ideal, unperturbed kernel geometry. Derived stability bounds quantify the corresponding inverse squared‐margin deviation and are numerically tested under local ...
S. Govender, I. Sinayskiy
wiley   +1 more source

Hadamard functional fractional integrals and derivatives and fractional differential equations

Filomat
This paper introduces a general type of new version of Hadamard fractional integrals and derivatives with respect to another function and studies some of their properties. Further, we prove the existence results for fractional differential equations with this Hadamard type fractional derivative.
K. Balachandran, M. Matar, N. Annapoorani, D. Prabu   +3 more
openaire   +1 more source

A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative [PDF]

General Mathematics, 2019
Abstract In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results are obtained by using Schaefer’s fixed point theorem. Some Ulam stability results are presented.
D. Vivek, K. Kanagarajan, E. M. Elsayed
openaire   +1 more source

The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations

Alexandria Engineering Journal
In this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek, Sahar Ahmed ldris, Fahd Jarad   +2 more
doaj   +1 more source

Wave Propagation in 3‐D Poroelastic Media Accounting for Both Mesoscopic and Global Flow Effects

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 9, September 2026.
Abstract Biot's theory of poroelasticity is widely recognized as a fundamental framework for describing wave‐induced fluid flow in mesoscopic heterogeneous porous media. However, dynamic numerical modeling of velocity dispersion and attenuation in heterogeneous porous media remains challenging due to (a) the stiffness of Biot's equations and (b) the ...
Zhiyu Hou, Yury Alkhimenkov, Beatriz Quintal   +2 more
wiley   +1 more source

New study on Caputo-Hadamard type fractional Neutral Integro-Differential equations [PDF]

Mathematics and Computational Sciences
In this work, we focus on the analysis of fractional-order neutral integro-differential equations using the Caputo-Hadamard fractional derivative. We employed the topological degree method (TDM) to derive results and solutions for these equations.
Emimal Navajothi, Selvi Sellappan
doaj   +1 more source

A new approach for the analysis of evolution partial differential equations on a finite interval

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı, Dionyssios Mantzavinos, Konstantinos Kalimeris   +2 more
wiley   +1 more source

Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions [PDF]

Advances in Mathematical Physics, 2014
We study existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions. A variety of fixed point theorems are used, such as Banach’s fixed point theorem, Krasnoselskii’s fixed point theorem, Leray-Schauder’s nonlinear alternative,
Jessada Tariboon, Sotiris K. Ntouyas, Chatthai Thaiprayoon   +2 more
openaire   +3 more sources