Results 61 to 70 of about 644,438 (285)

Results on nonlocal stochastic integro-differential equations driven by a fractional Brownian motion

Open Mathematics, 2020
This paper deals with the existence of mild solutions for a class of non-local stochastic integro-differential equations driven by a fractional Brownian motion with Hurst parameter H∈12,1H\in \left(\tfrac{1}{2},1\right).
Issaka Louk-Man, Diop Mamadou Abdoul, Hmoyed Hasna   +2 more
doaj   +1 more source

S-Almost Automorphic Solutions for Impulsive Evolution Equations on Time Scales in Shift Operators

Mathematics, 2020
In this paper, based on the concept of complete-closed time scales attached with shift direction under non-translational shifts (or S-CCTS for short), as a first attempt, we develop the concepts of S-equipotentially almost automorphic sequences ...
Chao Wang, Rathinasamy Sakthivel, Gaston M. N’Guérékata   +2 more
doaj   +1 more source

Approximate Controllability of Fully Nonlocal Stochastic Delay Control Problems Driven by Hybrid Noises

Fractal and Fractional, 2021
In this paper, a class of time-space fractional stochastic delay control problems with fractional noises and Poisson jumps in a bounded domain is considered.
Lixu Yan, Yongqiang Fu
doaj   +1 more source

Irregular convergence of mild solutions of semilinear equations [PDF]

Journal of Mathematical Analysis and Applications, 2019
We prove that even irregular convergence of semigroups of operators implies similar convergence of mild solutions of the related semi-linear equations with Lipschitz continuous nonlinearity. This result is then applied to three models originating from mathematical biology: shadow systems, diffusions on thin layers, and dynamics of ...
Adam Bobrowski, Markus Kunze
openaire   +2 more sources

Organ‐specific redox imbalances in spinal muscular atrophy mice are partially rescued by SMN antisense oligonucleotides

FEBS Letters, EarlyView.
We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley   +1 more source

Existence of mild solutions for nonlocal perturbed evolution equations with infinite state-dependent delay in Fréchet spaces [PDF]

Archives of Control Sciences
In this work, we give sufficient conditions to get the existence of mild solutions for two classes of first-order semilinear functional and neutral functional perturbed evolution equations with infinite state-dependent delay when the conditions are ...
Selma Baghli-Bendimerad, Imane Abibssi
doaj   +1 more source

Algorithm for Approximate Solving of a Nonlinear Boundary Value Problem for Generalized Proportional Caputo Fractional Differential Equations

Algorithms, 2023
In this paper an algorithm for approximate solving of a boundary value problem for a nonlinear differential equation with a special type of fractional derivative is suggested.
Angel Golev, Snezhana Hristova, Asen Rahnev   +2 more
doaj   +1 more source

Mild Solutions for Fractional Differential Equations with Nonlocal Conditions [PDF]

Advances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Periodic mild solutions of impulsive fractional evolution equations

AIMS Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lulu Ren, JinRong Wang, Michal Fečkan
openaire   +3 more sources

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source