Results 141 to 150 of about 713,574 (373)

Fractional Brownian motions ruled by nonlinear equations

open access: yes, 2018
In this note we consider generalized diffusion equations in which the diffusivity coefficient is not necessarily constant in time, but instead it solves a nonlinear fractional differential equation involving fractional Riemann-Liouville time-derivative ...
Garra, Roberto   +2 more
core  

HYERS-ULAM-RASSIAS STABILITY OF FRACTIONAL DIFFERENTIAL EQUATION

open access: yes, 2015
In this paper, we proved Hyers-Ulam and Hyers-Ulam-Rassias sta- bility for the following fractional differential eqaution wih boundary condition Dy(t) = F(t,y(t)), ay(0) + by(T) = c.
P. Muniyappan, S. Rajan
semanticscholar   +1 more source

Exosome Proteomics of SOD1D90A Mutation Suggest Early Disease Mechanisms, and FN1 as a Biomarker

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Amyotrophic lateral sclerosis (ALS) is a neuromuscular disease. Super oxide dismutase 1 (SOD1) gene mutations cause ALS, and the D90A mutation is associated with primarily upper motor neuron (UMN) loss. Objective Our goal is to reveal the early cellular events in ALS pathology and identify potential pharmacokinetic biomarkers, using well ...
Mukesh Gautam   +6 more
wiley   +1 more source

Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method

open access: yes, 2015
In this paper, using a mixed monotone operator method, we study the existence and uniqueness of positive solutions to a nonlinear arbitrary order fractional differential equation. An example is provided to illustrate the main result.
M. Jleli, B. Samet
semanticscholar   +1 more source

Accelerated Progression of Gait Impairment in Parkinson's Disease and REM Sleep Without Atonia

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective People with Parkinson's disease (PD) and rapid eye movement (REM) sleep without atonia (RSWA) often have more severe gait disturbances compared to PD without RSWA. The association between the presence and expression of RSWA and the rate of progression of gait impairment in PD is unknown.
Sommer L. Amundsen‐Huffmaster   +11 more
wiley   +1 more source

Symmetry Analysis and Wave Solutions of Time Fractional Kupershmidt Equation

open access: yesJournal of Applied Mathematics
This study employs the Lie symmetry technique to explore the symmetry features of the time fractional Kupershmidt equation. Specifically, we use the Lie symmetry technique to derive the symmetry generators for this equation, which incorporates a ...
Shalu Saini, Rajeev Kumar, Kamal Kumar
doaj   +1 more source

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