Remarks on boundary layers in singularly perturbed Caputo fractional boundary value problems [PDF]
arXiv, 2022 Almost nothing is known about the layer structure of solutions to singularly perturbed Caputo fractional boundary value problems. We discuss simple convection-diffusion and reaction-diffusion problems.
arxiv
Existence and Ulam Stability of Solutions for Discrete Fractional Boundary Value Problem
, 2013 We discuss the existence of solutions for antiperiodic boundary value problem and the Ulam stability for nonlinear fractional difference equations. Two examples are also provided to illustrate our main results.
Fulai Chen, Yong Zhou
semanticscholar +1 more source
Artificial Neural Network Methods for the Solution of Second Order Boundary Value Problems
Computers Materials & Continua, 2019 : We present a method for solving partial differential equations using artificial neural networks and an adaptive collocation strategy. In this procedure, a coarse grid of training points is used at the initial training stages, while more points are ...
C. Anitescu +3 more
semanticscholar +1 more source
Stochastic variation in the FOXM1 transcription program mediates replication stress tolerance
Molecular Oncology, EarlyView.Cellular heterogeneity is a major cause of drug resistance in cancer. Segeren et al. used single‐cell transcriptomics to investigate gene expression events that correlate with sensitivity to the DNA‐damaging drugs gemcitabine and prexasertib. They show that dampened expression of transcription factor FOXM1 and its target genes protected cells against ...
Hendrika A. Segeren +4 more
wiley +1 more source
On a nabla fractional boundary value problem with general boundary conditions
AIMS Mathematics, 2020 In this article, we consider a nabla fractional boundary value problem with general boundary conditions. Brackins & Peterson [5] gave an explicit expression for the corresponding Green’s function.
Jagan Mohan Jonnalagadda
doaj +1 more source
Positive Solutions for a Fourth-Order Boundary Value Problem
, 2013 This paper deals with the existence and multiplicity of positive solutions for the fourth-order boundary value problem . Here . We use fixed point index theory to establish our main results based on a priori estimates achieved by utilizing some integral ...
Bo Yang
semanticscholar +1 more source
Advanced glycation end products promote the release of endothelial cell‐derived mitocytosis
FEBS Open Bio, EarlyView.Under diabetic conditions, AGEs induce mitochondrial damage in HUVECs, activating migrasome‐mediated mitocytosis. Migrasomes encapsulate damaged mitochondria and are released into the extracellular space, facilitating intercellular mitochondrial transfer.
Rong Liu +6 more
wiley +1 more source
Open Boundary Conditions for Nonlinear Initial Boundary Value Problems [PDF]
Journal of Computational Physics 2025We present a straightforward energy stable weak implementation procedure of open boundary conditions for nonlinear initial boundary value problems. It simplifies previous work and its practical implementation.
arxiv +1 more source
The boundary value problem for Dirac-harmonic maps
, 2013 Dirac-harmonic maps are a mathematical version (with commuting variables only) of the solutions of the field equations of the non-linear supersymmetric sigma model of quantum field theory.
Qun Chen +3 more
semanticscholar +1 more source
Avery fixed point theorem applied to Hammerstein integral equations
Electronic Journal of Differential Equations, 2019 We apply a recent Avery et al. fixed point theorem to the Hammerstein integral equation $$ x(t)=\int^{T_2}_{T_1}G(t,s)f(x(s))\,ds, \quad t\in[T_1,T_2].
Paul W. Eloe, Jeffrey T. Neugebauer
doaj