Results 91 to 100 of about 11,408,380 (251)

Five Years of Continuous-time Random Walks in Econophysics [PDF]

This paper is a short review on the application of continuos-time random walks to Econophysics in the last five years.Duration; Continuous-time random walk; Fractional calculus; Statistical ...
Enrico Scalas
core  

Baseline Neuroinflammation Stratifies TSPO‐PET Response to Disease‐Modifying Therapy in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To investigate which baseline clinical and imaging characteristics best predict TSPO‐PET‐measurable reduction in glial activation following treatment of multiple sclerosis (MS), to utilize this information for designing more efficient biomarker‐based clinical trials targeting glial activation.
Marlene T. Morch, Markus Matilainen, Giulia N. Baldrighi, Marjo Nylund, Maija Saraste, Laura Airas   +5 more
wiley   +1 more source

Generalized fractional integration of the \overline{H}-function

Le Matematiche, 2012
A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial ...
Praveen Agarwal
doaj  

General fractional operators with fixed memory length: definitions and properties

Demonstratio 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

Fractal 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, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
doaj   +1 more source

Applications of the Fractional Calculus: On a Discretization of Fractional Diffusion Equation in One Dimension

, 2010
The paper discusses the problem of classical and fractional diffusion models. It is known that the classical model fails in heterogeneous structures with locations where particles move at a large speed over a long distance.
Tomas Kisela
core   +1 more source

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

Annals 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, Federica Avantaggiato, Gianni Pezzoli, Andrea Canessa   +3 more
wiley   +1 more source

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

Partial 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

Annals 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, Noa Bielopolski, Vijai Krishnan, Shane Wald‐Altman, Shelly I Shrian, Omer Bar‐Yosef, Livia Kapusta, Claire Shamber, Patricia L. Musolino, Miguel Weil   +9 more
wiley   +1 more source

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

Fractal 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