Results 81 to 90 of about 6,876 (298)

New Results on Fractional Power Series: Theory and Applications

Entropy, 2013
In this paper, some theorems of the classical power series are generalized for the fractional power series. Some of these theorems are constructed by using Caputo fractional derivatives.
Ahmad El-Ajou, Omar Abu Arqub, Zeyad Al Zhour, Shaher Momani   +3 more
doaj   +1 more source

Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz, Christopher H. Thompson, Linda C. Laux, Alfred L. George Jr.   +3 more
wiley   +1 more source

On the New Solutions of the Conformable Time Fractional Generalized Hirota-Satsuma Coupled KdV System

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper, generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. New fractional derivative definition called “conformable fractional derivative” used in the solution procedure.
Çenesiz Yucel, Kurt Ali, Tasbozan Orkun
doaj   +1 more source

Innate Immune Reprogramming Mediated by Endogenous Retroelement Dysregulation Drives Multiple Sclerosis Progression

Annals of Clinical and Translational Neurology, EarlyView.
Epigenetic reprogramming in hematopoietic stem and progenitor cells (HSPCs) and downstream myeloid cells, mediated by H3.3 downregulation and endogenous retroelement (ERE) overexpression, contributes to the progression of multiple sclerosis (MS). ABSTRACT Background Skewed myelopoiesis in the bone marrow has been identified as a key driver of multiple ...
Li‐Mei Xiao, Qiu‐Ping Zhao, Run‐Yun Li, Wei Chen, Huan‐Huan Song, Wan‐Jin Chen, Ying Fu   +6 more
wiley   +1 more source

An Entropy Formulation Based on the Generalized Liouville Fractional Derivative

, 2019
This paper presents a new formula for the entropy of a distribution, that is conceived having in mind the Liouville fractional derivative. For illustrating the new concept, the proposed definition is applied to the Dow Jones Industrial Average. Moreover,
Rui A. C. Ferreira, J. Tenreiro Machado
core   +1 more source

Paramagnetic Rim Lesions Are Associated With Trans‐Synaptic Degeneration of the Visual Pathway in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Retrograde trans‐synaptic degeneration (rTSD) from posterior visual pathway lesions in multiple sclerosis (MS) is characterized by hemi‐macular ganglion cell‐inner plexiform layer (GCIPL) thinning and contralateral visual field loss.
Abdul Jaber Tayem, Angel Liu, Sargis Manukyan, Mustafa Subhi, Elaina Luskin, Bryan Quah, Sreekanth Madhusoodhanan Nair, Arzu C. Has Silemek, Gabriela Zabala, Yujie Cui, Laura Locke, Paula Barreras, Marwa Kaisey, Vinicius Calsavara, Daniel S. Reich, Nancy L. Sicotte, Pascal Sati, Omar Al‐Louzi   +17 more
wiley   +1 more source

Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach

Complexity, 2019
In the famous continuous time random walk (CTRW) model, because of the finite lifetime of biological particles, it is sometimes necessary to temper the power law measure such that the waiting time measure has a convergent first moment.
Weiyuan Ma, Changpin Li, Jingwei Deng
doaj   +1 more source

New Generalized Reverse Minkowski Inequality and Related Integral Inequalities via Generalized ·-Fractional Hilfer-Katugampola Derivative

, 2021
This article aims to present the reverse Minkowski inequalityand other related integral inequalities by using the generalized k-fractionalHilfer-Katugampola derivative. We have novelized these inequalities byutilizing the Hölder inequality. Moreover,
Samaira Naz; Department of Mathematics, Government College University of Faisalabad,, Muhammad Nawaz Naeem; Department of Mathematics, Government College University of Faisalabad   +1 more
core  

Normal‐Appearing White Matter Injury Mediates Chronic Deep Venous Hypoxia and Disease Progression in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang, Huiying Wang, Zhizheng Zhuo, Ai Guo, Ke Lv, Decai Tian, Chao Chai, Yunyun Duan, Shuang Xia   +8 more
wiley   +1 more source

A New Approach to Generalized Fractional Derivatives

, 2011
The author \mbox{(Appl. Math. Comput. 218(3):860-865, 2011)} introduced a new fractional integral operator given by, \[ \big({}^ρ\mathcal{I}^α_{a+}f\big)(x) = \frac{ρ^{1- α}}{Γ(α)} \int^x_a \frac{τ^{ρ-1} f(τ) }{(x^ρ- τ^ρ)^{1-α}}\, dτ, \] which generalizes the well-known Riemann-Liouville and the Hadamard fractional integrals. In this paper we present a
openaire   +3 more sources