Results 91 to 100 of about 2,998 (256)

General fractional operators with fixed memory length: definitions and properties

open access: yesDemonstratio Mathematica
This paper proposes the definitions of general fractional operators with fixed memory length in several function spaces. Firstly, some properties of the general fractional integral with fixed memory length, such as boundedness, continuity, semigroup ...
Wang Rong-Fu, Gu Chuan-Yun, Zeng Ni
doaj   +1 more source

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

open access: yesFractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali   +3 more
doaj   +1 more source

Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias   +3 more
wiley   +1 more source

On generalized fractional differential equation with Sonine kernel on a function space

open access: yesPartial Differential Equations in Applied Mathematics
Sonine kernel is a special type of the general kernels, satisfying some integrability and monotonicity conditions and properties. Sonine kernels generate some convolution polynomials (power functions) used in the construction of the general fractional ...
McSylvester Ejighikeme Omaba
doaj   +1 more source

Re‐Purposing Sapropterin (Kuvan) for ACTA2‐Related Multisystemic Smooth Muscle Dysfunction Syndrome: A Translational Mechanistic and First‐In‐Human Therapeutic Report

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Multisystemic smooth muscle dysfunction syndrome (MSMDS) is an ultra‐rare, ACTA2‐related disorder characterized by severe cerebrovascular disease, aortic aneurysms, and smooth muscle dysfunction. Using molecular dynamics simulations and in silico drug screening, we identified that sapropterin dihydrochloride (Kuvan) is a candidate capable of ...
Moran Hausman‐Kedem   +9 more
wiley   +1 more source

On an Analogy of Fermat’s Theorem for the First-Level General Fractional Derivative and Its Applications

open access: yesFractal and Fractional
Fermat’s theorem, often referred to as the interior extrema theorem, is one of the fundamental results in calculus and optimization theory. Recently, the statement of this theorem has been generalized to the case of fractional derivatives.
Mohammed Al-Refai, Yuri Luchko
doaj   +1 more source

Rheumatoid Arthritis and Coronary Artery Calcium Progression: A Case Cohort Analysis From ELSA‐Brasil

open access: yesArthritis Care &Research, EarlyView.
Objective To investigate the association between rheumatoid arthritis (RA) and coronary artery calcium (CAC) prevalence, incidence, and progression over four years in adults without prior cardiovascular disease. Methods A case‐cohort study within the Brazilian Longitudinal Study of Adult Health (ELSA‐Brasil) included 585 participants (86 patients with ...
Patrícia Fonseca Estrada   +7 more
wiley   +1 more source

The Gut–Heart Axis in Systemic Sclerosis: Evidence From a Large Prospective Early Disease Cohort

open access: yesArthritis Care &Research, EarlyView.
Objective Cardiac involvement significantly impacts prognosis in systemic sclerosis (SSc), highlighting the need for early risk stratification. Gastrointestinal (GI) symptoms are common and often manifest early. Emerging data suggest a link between GI and cardiac manifestations, possibly through shared mechanisms like dysautonomia.
Francesca R. Di Ciommo   +9 more
wiley   +1 more source

The Lupus Damage Index Revision Program: Results From the Item Generation and Reduction Phases

open access: yesArthritis Care &Research, EarlyView.
Objective A data‐driven and expert/patient consensus‐based project to develop a revised Systemic Lupus International Collaborating Clinics (SLICC)/American College of Rheumatology (ACR) Damage Index (SDI) is under way supported by SLICC, ACR, and the Lupus Foundation of America. Our objective is to report the item generation and reduction phase results
Burak Kundakci   +25 more
wiley   +1 more source

Determinants of Body Mass Index in Early Systemic Sclerosis: Implications for Nutritional Risk Stratification

open access: yesArthritis Care &Research, EarlyView.
Objective Gastrointestinal (GI) involvement can lead to malnutrition in patients with systemic sclerosis (SSc). Body mass index (BMI) remains the most widely used marker to screen nutritional status. We aimed to identify predictors of lower BMI in patients with SSc. Methods Patients with SSc from a prospective US cohort meeting 2013 American College of
Ali Y. Ayla   +8 more
wiley   +1 more source

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