Results 41 to 50 of about 5,028,361 (312)
Topological Structure of Solution Sets of Fractional Control Delay Problem
Fractal and Fractional, 2023 This paper is concerned with the existence of a mild solution for the fractional delay control system. Firstly, we will study the control problem. Then, we will deal with the topological structure of the solution set consisting of the compactness and Rσ ...
Ahmed A. Al Ghafli +4 more
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric intramedullary low‐grade gliomas (PIMLGGs) are rare neoplasms that present unique clinical and management challenges. Although surgery remains the primary tool for tissue diagnosis and decompression, complete gross‐total resection is frequently unfeasible due to the infiltrative nature of these lesions.
Olga M. Sergeenko +5 more
wiley +1 more source
Asymptotics of the mild solution of awave equation in three-dimensional space driven by a general stochastic measure [PDF]
, 2019 We study the Cauchy problem for a wave equation in three-dimensional space driven by a general stochastic measure. Under some assumptions, we prove that the mild solution tends to zero almost surely as the absolute value of the spatial variable tends to ...
Bodnarchuk, I. M.
core +1 more source
AxiomsIn this paper, we investigate a fuzzy Hilfer fractional evolution equation of type ...
Kholoud N. Alharbi, Sanaa Alotaibi
doaj +1 more source
Fractal and Fractional, 2021 Under a new generalized definition of exact controllability we introduced and with a appropriately constructed time delay term in a special complete space to overcome the delay-induced-difficulty, we establish the sufficient conditions of the exact ...
Daliang Zhao
doaj +1 more source
Extremal Mild Solutions of Hilfer Fractional Impulsive Systems
, 2021 The well established monotone iterative technique that is used to study the existence and uniqueness of fractional impulsive system is extended to Hilfer fractional order in this paper. The results are derived by using the method of upper and lower solution and Gronwall inequality.
Raghavan, Divya, Nagarajan, Sukavanam
openaire +2 more sources
Mild solutions for a class of fractional SPDEs and their sample paths [PDF]
Journal of Evolution Equations, 2009 In this article we introduce and analyze a notion of mild solution for a class of non-autonomous parabolic stochastic partial differential equations defined on a bounded open subset $D\subset\mathbb{R}^{d}$ and driven by an infinite-dimensional fractional noise.
Sanz-Solé, Marta, Vuillermot, Pierre-A.
openaire +3 more sources
Probabilistic representation for mild solution of the Navier–Stokes equations [PDF]
Mathematical Research Letters, 2021 This paper is based on a formulation of the Navier-Stokes equations developed by Iyer and Constantin \cite{Cont} , where the velocity field of a viscous incompressible fluid is written as the expected value of a stochastic process. Our contribution is to establish this probabilistic representation formula for mild solutions of the Navier-Stokes ...
openaire +2 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose To explore caregivers' experiences and perceptions of the nutritional challenges faced by children and adolescents undergoing cancer treatment, including oral intake and the use of nutritional support. Methods This was a qualitative study based on focus groups with parents and caregivers at a Brazilian pediatric oncology hospital ...
Danyelle Apparecida Balsamão Marques +5 more
wiley +1 more source
Assessment of outcome in clinical trials in mild Alzheimer 19s disease: urgent time for a rethink? [PDF]
, 2013 Introduction: A major barrier for clinical trials in Alzheimer's disease is the lack of sensitive clinical endpoints for the early stages. Until recently, regulatory agencies have required demonstration of improvement in two disease domains, cognition ...
McGoldrick, S. +12 more
core