Results 111 to 120 of about 4,878 (264)
Existence of Mild Solutions for Fractional Integrodifferential Equations with Hilfer Derivatives
In this paper, we study the existence of solutions for fractional integrodifferential equations with Hilfer derivatives. We establish some new existence theorems for mild solutions by using Schaefer’s fixed-point theorem, a measure of noncompactness, and
Mian Zhou, Yong Zhou
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A Theory of the Boundaries of Banks With Implications for Financial Integration and Regulation
ABSTRACT We offer a theory of the “boundary of the firm” that is tailored to banks, recognizing the relevance of deposit financing and interbank lending as a substitute for integration. It is based on a single inefficiency that has been at the core of banking theory: risk‐shifting incentives in the interest of bank shareholders.
Falko Fecht +2 more
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Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm [PDF]
Rong-Nian Wang, Jun Liu, De-Han Chen
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Abstract This study investigates the role of locality (a task/material‐related variable), demographic factors (age, education, and sex), cognitive capacities (verbal working memory [WM], verbal short‐term memory [STM], speed of processing [SOP], and inhibition), and morphosyntactic category (time reference and grammatical aspect) in verb‐related ...
Marielena Soilemezidi +3 more
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On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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This research work investigates the existence, uniqueness, and stability of solution for a time-fractional fourth-order partial differential equation, subject to two initial conditions and four nonlocal integral boundary conditions.
Rowaida Alrajhi, Said Mesloub
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Abstract Computed tomography (CT) images are often severely corrupted by artifacts in the presence of metals. Existing supervised metal artifact reduction (MAR) approaches suffer from performance instability on known data due to their reliance on limited paired metal‐clean data, which limits their clinical applicability. Moreover, existing unsupervised
Jie Wen +3 more
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ABSTRACT Localized deformation in dense granular materials, often culminating in the formation of shear bands, is a key failure mechanism in geotechnical and material systems. However, predicting the onset of such localization remains a fundamental challenge due to the system's inherent inelasticity and microstructural complexity.
Zhennan Zhu +4 more
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Solvability of fractional differential inclusions with nonlocal initial conditions via resolvent family of operators [PDF]
Yong‐Kui Chang +2 more
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On the Mean‐Field Limit of Consensus‐Based Methods
ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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