195 documents found, page 1 of 20

Factorization à la Dirac applied to the time-fractional telegraph equation

This paper examines a coupled system of two-term time-fractional diffusion Dirac-type equations. The system is derived by factorizing the multi-dimensional time-fractional telegraph equation with Hilfer fractional derivatives, using the Dirac method and a triplet of Pauli matrices. Solutions are obtained using operational methods provided by the combination of the Fourier transform in the space variable and the...

The Relevance of Hand Mobility and Functionality Surveillance in Patients with ...

Introduction: Systemic sclerosis causes skin thickening, Raynaud’s phenomenon, visceral damage, and musculoskeletal issues. Hand impairment, affecting about 90% of patients, limits mobility, dexterity, and grip strength, significantly impacting daily life, with few treatment options. This study aims to characterize hand function in patients with Systemic Sclerosis and, secondarily, to describe those undergoing ...

Out of sight is not out of mind: Associations between perceived maternal attach...

The present study aimed to explore the associations between perceived maternal attachment and self-representations of youth in residential care (RC), considering the potential moderator role of youth’s sex and age and the potential concurrent effect of frequency and type of family visits and length of time in RC. To this end, a sample of 659 youth aged 11–18 (M = 15.65, SD = 1.72) from RC settings filled out se...

Dirac’s method applied to the time-fractional diffusion-wave equation

We compute the fundamental solution for time-fractional diffusion Dirac-like equations, which arise from the factorization of the multidimensional time-fractional diffusion-wave equation using Dirac’s factorization approach.

Distributed-order relaxation-oscillation equation

In this short paper, we study the Cauchy problem associated with the forced time-fractional relaxation-oscillation equation with distributed order. We employ the Laplace transform technique to derive the solution. Additionally, for the scenario without external forcing, we focus on density functions characterized by a single order, demonstrating that under these conditions, the solution can be expressed using t...

Worldwide forest surveys reveal forty-three new species in Phytophthora major C...

During 25 surveys of global Phytophthora diversity, conducted between 1998 and 2020, 43 new species were detected in natural ecosystems and, occasionally, in nurseries and outplantings in Europe, Southeast and East Asia and the Americas. Based on a multigene phylogeny of nine nuclear and four mitochondrial gene regions they were assigned to five of the six known subclades, 2a-c, e and f, of Phytophthora major C...

Youth-caregiver relationship quality in residential youth care: Professionals’ ...

This study aimed to explore the perceptions and experiences of professionals working in residential care (RC) settings (i.e., caregivers and directors) about youth-caregiver relationship quality (YCRQ). Method: A qualitative study was developed in Portugal including 15 caregivers (73.3% women, 23–50 years) and 15 directors (73.3% women, 34–45 years) working in 18 generalist RC units. Data were collected through...

Quaternion Hyperbolic Fourier Transforms and uncertainty principles

The present study introduces the two-sided and right-sided Quaternion Hyperbolic Fourier Transforms (QHFTs) for analyzing two-dimensional qua\-ternion-valued signals defined in an open rectangle of the Euclidean plane endowed with a hyperbolic measure. The different forms of these transforms are defined by replacing the Euclidean plane waves with the corresponding hyperbolic plane waves in one dimension, giving...

Report reflection group transforming education outputs

In vivo activity of peptide-ionic liquid conjugates against diabetic wounds

Due to widespread multidrug-resistant (MDR) microbes, efficient treatments for infected wounds are being exhausted, which means that there is an alarming lack of effective antibiotics to treat diabetic foot ulcers (DFU). The increasing life expectancy of the population and the growing incidence of unhealthy lifestyles is leading to a concerning rise in the number of people affected with diabetes and related com...