Results 81 to 90 of about 206,050 (258)

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal   +5 more
wiley   +1 more source

Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations [PDF]

open access: yes, 2014
Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm ...
Shi, Yufeng   +2 more
core  

Representation of Multilinear Mappings and s‐Functional Inequality

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

Regularity of the minimiser of one-dimensional interaction energies

open access: yes, 2019
We consider both the minimisation of a class of nonlocal interaction energies over non-negative measures with unit mass and a class of singular integral equations of the first kind of Fredholm type. Our setting covers applications to dislocation pile-ups,
Kimura, M., van Meurs, P.
core   +1 more source

Triangular functions method for the solution of Fredholm integral equations system

open access: yesAin Shams Engineering Journal, 2012
A numerical method based on orthogonal triangular functions (TFs) is proposed to approximate the solution of Fredholm integral equations systems. The powerful properties of orthogonal triangular functions are utilized in a direct method to reduce a ...
H. Almasieh, M. Roodaki
doaj   +1 more source

Integrating evolution equations using Fredholm determinants

open access: yesElectronic Research Archive, 2021
<p style='text-indent:20px;'>We outline the construction of special functions in terms of Fredholm determinants to solve boundary value problems of the string spectral problem. Our motivation is that the string spectral problem is related to the spectral equations in Lax pairs of at least three nonlinear evolution equations from mathematical ...
openaire   +2 more sources

Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16433-16444, December 2025.
ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley   +1 more source

Potential Integral Equations in Electromagnetics

open access: yes, 2017
In this work, a new integral equation (IE) based formulation is proposed using vector and scalar potentials for electromagnetic scattering. The new integral equations feature decoupled vector and scalar potentials that satisfy Lorentz gauge.
Fu, Xin   +2 more
core   +1 more source

The Concise Guide to PHARMACOLOGY 2025/26: G protein‐coupled receptors

open access: yesBritish Journal of Pharmacology, Volume 182, Issue S1, Page S24-S151, December 2025.
The Concise Guide to Pharmacology 2025/26 marks the seventh edition in this series of biennial publications in the British Journal of Pharmacology. Presented in landscape format, the guide provides a comparative overview of the pharmacology of drug target families. The concise nature of the Concise Guide refers to the style of presentation, being clear,
Stephen P. H. Alexander   +206 more
wiley   +1 more source

Solving linear Fredholm-Stieltjes integral equations of the second kind by using the generalized Simpson’s rule

open access: yesMANAS: Journal of Engineering, 2016
In this paper, the generalized Simpson's rule (GSR) is applied to solve linear Fredholm-Stieltjes integral equations of the second kind (LFSIESK). A numerical example is presented to illustrate the method by using Maple.
A. Asanov, S. Yanık
doaj  

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