Results 61 to 70 of about 3,135,223 (208)

Numerical and analytic method for solvingproposal New Type for fuzzy nonlinear volterra integral equation [PDF]

, 2016
In this paper, we proved the existence and uniqueness and convergence of the solution of new type for nonlinear fuzzy volterra integral equation . The homotopy analysis method are proposed to solve the new type fuzzy nonlinear Volterra integral equation .
Hasan, Sameer Qasim, jalal, Alan Abdulqader   +1 more
core   +1 more source

Mixed Boundary Value Problem for Nonlinear Fractional Volterra Integral Equation [PDF]

, 2022
In this paper we present the existence of solutions for a nonlinear fractional integral equation of Volterra type with mixed boundary conditions, some necessary hypotheses have been developed to prove the existence of solutions to the proposed equation ...
Ishak, Faraj Y.
core   +1 more source

Artificial intelligence driven diet‐intestinal microbiota‐host health integration: A four‐dimensional paradigm for advancing host wellness research

iMetaOmics, Volume 3, Issue 3, September 2026.
This graphical abstract presents a novel Diet‐Artificial Intelligence (AI)‐intestinal Microbiota–Host Health paradigm integrating microbiota‐centric pathways and an AI‐driven multi‐omics workflow. Diet shapes gut bacteria that regulate intestinal mucosal integrity, immune signaling, and gut–brain neurotransmitters to influence host health.
Tianle He, Shuobo Zhang, Jiaxin Chen, Xiaoling Zheng, Jixin Zhao, Huifeng Li, Jiani Mao, Ju Luo, Jundan Zheng, Dengjun Ma, Lihong Wang, Junhui Liu, Wen Tian, Shuangming Yang, Chengli Liu, Ke Tian, Zhenguo Yang   +16 more
wiley   +1 more source

Finite‐Block Polynomial and Volterra Structure in Reservoir Computing

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley   +1 more source

Existence and Stability Analysis of Nonlinear Volterra-Fredholm Integral Equations

Proceedings of the International Conference on Applied Innovations in IT
The aim of this paper is to prove the existence and uniqueness of a solution for a Volterra-Fredholm nonlinear integral equation in two variables under certain conditions, for example, Using the Lipschitz condition with Banach's space contraction ...
Shahab A. Hassan, Noor H. Abdullah, Waleed A. Saeed   +2 more
doaj   +1 more source

Ecological examples of nonstationarity, nonlinearity and statistical interactions in dynamic structural equation models

Methods in Ecology and Evolution, Volume 17, Issue 8, Page 2510-2523, August 2026.
Abstract Ecologists are adapting structural causal modelling for spatial, phylogenetic and time‐series analysis. However, ecological extensions of path analysis and structural equation models (SEM) typically assume that interactions among variables are stationary, linear and additive, while ecological and evolutionary dynamics are often nonstationary ...
James T. Thorson, Kasper Kristensen
wiley   +1 more source

Nonlinear Two-Phase Stefan Problem [PDF]

Journal of Sciences, Islamic Republic of Iran, 2007
In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.
K. Ivaz
doaj  

Coexistence of poorer competitors for all available resources requires greater niche overlap

Ecosphere, Volume 17, Issue 7, July 2026.
Abstract The need for niche differentiation among resource competitors to coexist is a universally accepted principle in ecology. However, this principle is derived from models with one or two resources or no resource dynamics at all. Graphical analysis of a consumer‐resource model including three resources shows that a consumer that is not the best ...
Mark A. McPeek
wiley   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Regularization of Nonlinear Volterra Integral Equations of the First Kind with Smooth Data

AppliedMath
The paper investigates the regularization of solutions to nonlinear Volterra integral equations of the first kind, under the assumption that a solution exists and belongs to the space of continuous functions.
Taalaibek Karakeev, Nagima Mustafayeva
doaj   +1 more source