Results 101 to 110 of about 338,032 (215)

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar   +3 more
wiley   +1 more source

Preliminary Appraisal of a Correlation Between Glaciations and Large Igneous Provinces Over the Past 720 Million Years

open access: yesGeophysical Monograph Series, Page 169-190., 2021

Exploring the links between Large Igneous Provinces and dramatic environmental impact

An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Nasrrddine Youbi   +9 more
wiley  

+1 more source

Derivative observations in Gaussian Process models of dynamic systems [PDF]

open access: yes, 2003
Gaussian processes provide an approach to nonparametric modelling which allows a straightforward combination of function and derivative observations in an empirical model.
Rasmussen, C.E.   +4 more
core   +2 more sources

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Computational study of fractional partial differential equations using the second-kind Chebyshev collocation technique with error analysis

open access: yesBoundary Value Problems
This paper presents and establishes the Chebyshev collocation method, which generates numerical solutions for nonlinear fractional partial differential equations such as the fractional diffusion, wave, and Korteweg–De Vries equations. To obtain the novel
Khaled M. Abdelgaber   +3 more
doaj   +1 more source

Existence and Stability Analysis of Classical and Fractional‐Order Generalized Brusselator Reaction‐Diffusion System

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam   +3 more
wiley   +1 more source

Knock‐knock, who is inside? Exploiting citizen science data to shed light on Aedes albopictus indoor presence in southern Europe

open access: yesPeople and Nature, EarlyView.
Abstract Animal behaviour in human‐dominated landscapes is difficult to study at large spatial and temporal scales, especially for small species characterised by elusive movements. Citizen science can help overcome these limitations by turning routine human–animal encounters into observations of where and when species are active.
Eleonora Longo   +17 more
wiley   +1 more source

Positive solutions for boundary-value problems of nonlinear fractional differential equations

open access: yesElectronic Journal of Differential Equations, 2006
In this paper, we consider the existence and multiplicity of positive solutions for the nonlinear fractional differential equation boundary-value problem $$displaylines{ mathbf{D}_{0+}^alpha u(t)=f(t,u(t)),quad ...
Shuqin Zhang
doaj  

Viscoelastic Modeling of Stress Relaxation in Model High‐Performance Covalent Adaptable Networks

open access: yesJournal of Polymer Science, EarlyView.
Covalent adaptable networks, often referred to as vitrimers, contain a certain fraction of bonds that are able to exchange with other bonds. The ability of this bond exchange to relax stress or result in flow of the material depends on the concentration and specific concentration of these bonds in ways that can be quantified.
Broderick Lewis   +4 more
wiley   +1 more source

Sliding Mode Control in Aerospace Applications: A Survey

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source

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