Results 51 to 60 of about 577,075 (200)

Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation

Quarterly Journal of the Royal Meteorological Society, EarlyView.
A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan, Massimo Bonavita, Marcin Chrust, Elías Hólm   +3 more
wiley   +1 more source

Fractional variational problems depending on indefinite integrals [PDF]

, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor, Pooseh, S., Almeida, R., Almeida, Ricardo, Delfim F.M. Torres, Shakoor Pooseh, Torres, D.F.M., Ricardo Almeida, Torres, Delfim F. M.   +8 more
core   +1 more source

On solvability of BVP for a coupled Hadamard fractional systems involving fractional derivative impulses

AIMS Mathematics, 2022
<abstract><p>Hadamard fractional calculus is one of the most important fractional calculus theories. Compared with a single Hadamard fractional order equation, Hadamard fractional differential equations have a more complex structure and a wide range of applications.
Hui Huang, Kaihong Zhao, Xiuduo Liu
openaire   +2 more sources

Diffusion of Characteristic Gases in Oil‐Immersed Transformer by Computational Fluid Dynamics Simulation and Experimental Verification

High Voltage, EarlyView.
ABSTRACT The complex diffusion of characteristic gases within oil‐immersed transformers significantly influences the timeliness between the fault occurrence and gas detection. So far, the gas transport processes and spatio‐temporal distributions remain inadequately understood.
Chunpeng Li, Yuan Li, Jianyi Wang, Zhengqin Zhou, Zhihao Liu, Zhiqiu Chen, Dongyang Zheng, Guanjun Zhang   +7 more
wiley   +1 more source

Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives

Journal of Inequalities and Applications
This article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of
Muhammad Imran, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source

Finite time stability for Hadamard fractional-order systems

Ain Shams Engineering Journal
This paper examines the properties of finite-time stability (FTS) in the sense of Hadamard fractional-order systems. The investigation utilizes the Hadamard fractional derivative to formulate and analyze these systems, establishing FTS criteria based on ...
Omar Naifar, Abdellatif Ben Makhlouf, Lassaad Mchiri, Mohamed Rhaima   +3 more
doaj   +1 more source

Optimal Portfolio Choice With Cross‐Impact Propagators

Mathematical Finance, EarlyView.
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber, Eyal Neuman, Sturmius Tuschmann   +2 more
wiley   +1 more source

Well-Posedness and Stability for a Differential Problem with Hilfer-Hadamard Fractional Derivative [PDF]

Abstract and Applied Analysis, 2013
Summary: Motivated by the Hilfer fractional derivative (which interpolates the Riemann-Liouville derivative and the Caputo derivative), we consider a new type of fractional derivative (which interpolates the Hadamard derivative and its Caputo counterpart).
Kassim, M. D., Tatar, N.-E.
openaire   +4 more sources

Design Principles for Light‐Scattering Reservoir Computing at the Edge of Chaos

Advanced Computing, Volume 1, Issue 1, December 2026.
Here we realize a light‐scattering reservoir computer operating with measurement‐modulation feedback, physically tunable in three axes—reservoir dynamics, input‐reservoir coupling, and reservoir interconnectivity. Sweeping each axis, we locate the axis‐specific optimum of memory capacity; the dynamic axis displays the sharpest optimum.
Geon Kim, YongKeun Park
wiley   +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