Results 91 to 100 of about 6,205 (243)

Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem

Abstract and Applied Analysis, 2014
By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under ...
Wenzhe Xie, Jing Xiao, Zhiguo Luo
doaj   +1 more source

Fractional variational iteration method via modified Riemann–Liouville derivative

Journal of King Saud University - Science, 2011
AbstractThe aim of this paper is to present an efficient and reliable treatment of the variational iteration method (VIM) for partial differential equations with fractional time derivative. The fractional derivative is described in the Jumarie sense. The obtained results are in good agreement with the existing ones in open literature and it is shown ...
Faraz N., Khan Y., Jafari H., Yildirim A., Madani M.   +4 more
openaire   +2 more sources

Chronic insomnia, REM sleep instability and emotional dysregulation: A pathway to anxiety and depression?

Journal of Sleep Research, Volume 34, Issue 2, April 2025.
Summary The world‐wide prevalence of insomnia disorder reaches up to 10% of the adult population. Women are more often afflicted than men, and insomnia disorder is a risk factor for somatic and mental illness, especially depression and anxiety disorders.
Dieter Riemann, Raphael J. Dressle, Fee Benz, Kai Spiegelhalder, Anna F. Johann, Christoph Nissen, Elisabeth Hertenstein, Chiara Baglioni, Laura Palagini, Lukas Krone, Michael L. Perlis, Katharina Domschke, Mathias Berger, Bernd Feige   +13 more
wiley   +1 more source

Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj  

Feasibility and usability of three consecutive nights with self‐applied, home polysomnography

Journal of Sleep Research, Volume 34, Issue 2, April 2025.
Summary In‐laboratory polysomnography, the gold‐standard for diagnosing sleep disorders, is resource‐demanding and not conducive to multiple night evaluations. Ambulatory polysomnography, especially when self‐applied, could be a viable alternative. This study aimed to assess the feasibility and reliability of self‐applied polysomnography over three ...
Dimitri Ferretti, Anna S. Islind, Kristín A. Ólafsdóttir, Sigridur Sigurdardottir, Kamilla R. Jóhannsdóttir, Jan Hedner, Ludger Grote, Erna Sif Arnardottir   +7 more
wiley   +1 more source

Trauma‐Related Compulsions in Obsessive‐Compulsive Disorder: Functional Insights From Factor Analysis [PDF]

Stress Health
ABSTRACT Resisting obsessive‐compulsive disorder (OCD) compulsions is a key predictor of exposure and response prevention (ERP) effectiveness, yet trauma‐exposed individuals with OCD endorse more severe compulsions and are more likely to be labelled ‘treatment resistant.’ Among trauma‐exposed individuals, compulsions are theorised to function to ...
Pinciotti C, Thorsson M, Horvath G, Cervin M.   +3 more
europepmc   +2 more sources

Profiling the sleep architecture of ageing adults using a seven‐state continuous‐time Markov model

Journal of Sleep Research, Volume 34, Issue 2, April 2025.
Summary Sleep is a complex biological process regulated by networks of neurons and environmental factors. As one falls asleep, neurotransmitters from sleep–wake regulating neurones work in synergy to control the switching of different sleep states throughout the night. As sleep disorders or underlying neuropathology can manifest as irregular switching,
Jonathon Jacobs, Caitlin E. Martin, Bernard Fuemmeler, Shanshan Chen   +3 more
wiley   +1 more source

The N-soliton solutions of the n-component generalized Sasa-Satsuma system: Riemann-Hilbert method

Nuclear Physics B
Using the Riemann-Hilbert method, the paper systematically investigates the n-component generalized Sasa-Satsuma system. By utilizing the Tu scheme, we systematically construct the n-component generalized Sasa-Satsuma integrable hierarchy, and obtain the
Zhiguo Ren, Jing Yu, Lin Huang
doaj   +1 more source

Tor Methods for Proving the Riemann Hypothesis

, 2023
Now we find the following nice property of ζφ(n). For any integer n, let h(T ) = (T n − T )m. Then ζφ(n) = 2m+1h(2) 2m + 2 . Proof. We start with the criterion for which A ∩ Γ = {f | A ∪ Γ \ {f }} [...] Now, by definition O(A ∪ Γ ∪ {a})(a) = O(A ∪ b \ {a})(b) = O(A)(b) = {b}.
openaire   +1 more source

Napping during cognitive behavioural therapy for insomnia: Friends or foes?

Journal of Sleep Research, Volume 34, Issue 2, April 2025.
Summary Cognitive and Behavioural Therapy for Insomnia (CBT‐I) is the gold standard treatment for chronic insomnia, with one crucial step being the restriction of time spent in bed. This restriction often intensifies early afternoon sleepiness, leading to a natural gateway for a short recuperative nap, which might foster adherence to CBT‐I over time ...
Brice Faraut, Louise Gaillard, Annabelle Labonne, Julie Margrethe Dubois, Joëlle Adrien, Damien Léger   +5 more
wiley   +1 more source