Results 91 to 100 of about 16,231 (283)
Fractional Calculus in Wave Propagation Problems [PDF]
, 2012 Fractional calculus, in allowing integrals and derivatives of any positive order (the term "fractional" kept only for historical reasons), can be considered a branch of mathematical physics which mainly deals with integro-differential equations, where ...
Mainardi, Francesco
core
Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
Advanced Science, EarlyView.Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu +4 more
wiley +1 more source
Numerical Solution of Integral-Algebraic Equations with Weakly Singular Kernels by k−step Methods
Известия Иркутского государственного университета: Серия "Математика", 2015 In this paper we describe numerical methods for solution integral-algebraic equations wiht weakly singular kernels. Methods are based on explicit Adam’s methods, product integration methods for the integral part and on extrapolation formulas for the main
M.V. Bulatov, O.S. Budnikova
doaj
A novel approach for solving weakly singular fractional integro-differential equations
Partial Differential Equations in Applied MathematicsIn this essay, we introduce a novel idea to tackle the challenges of fractional integro-differential equations (FIDEs) featuring weakly singular kernels (WSKs). New idea leverages B-splines for solving such equations, offering a robust numerical solution
Ali Jalal Ali +2 more
doaj +1 more source
On weakly singular Fredholm integral equations with displacement kernels
Journal of Mathematical Analysis and Applications, 1976 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/21731/1/0000124 ...
openaire +2 more sources
A Product Integration type Method for solving Nonlinear Integral Equations in L
, 2016 This paper deals with nonlinear Fredholm integral equations of the second kind. We study the case of a weakly singular kernel and we set the problem in the space L 1 ([a, b], C). As numerical method, we extend the product integration scheme from C 0 ([a,
Ahues, M., Grammont, L., Kaboul, H.
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ML Workflows for Screening Degradation‐Relevant Properties of Forever Chemicals
Advanced Science, EarlyView.The environmental persistence of per‐ and polyfluoroalkyl substances (PFAS) necessitates efficient remediation strategies. This study presents physics‐informed machine learning workflows that accurately predict critical degradation properties, including bond dissociation energies and polarizability.
Pranoy Ray +3 more
wiley +1 more source
Complexity, 2019 In this work, a mechanical quadrature method based on modified trapezoid formula is used for solving weakly singular Volterra integral equation with proportional delays.
Li Zhang +3 more
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Advanced Science, EarlyView.WS2‐based in‐memory sensing reservoir computing integrates sensing, memory, and computation in one compact device. It achieves ∼94% N‐MNIST, ∼93% eye motion perception, and ∼89% speech recognition with ultra‐low energy (∼25.5 fJ/spike). The system shows stability at 95% humidity, endurance over 1.5M cycles, and supports synaptic plasticity, enabling ...
Dayanand Kumar +9 more
wiley +1 more source
Limiting behavior of quasilinear wave equations with fractional-type dissipation
Advanced Nonlinear StudiesIn this work, we investigate a class of quasilinear wave equations of Westervelt type with, in general, nonlocal-in-time dissipation. They arise as models of nonlinear sound propagation through complex media with anomalous diffusion of Gurtin–Pipkin type.
Kaltenbacher Barbara +2 more
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