Results 91 to 100 of about 4,524,493 (325)
It is a well-known fact that the Dzhrbashyan–Nersesyan fractional derivative includes as particular cases the fractional derivatives of Riemann–Liouville, Gerasimov–Caputo, and Hilfer.
Vladimir E. Fedorov +4 more
doaj +1 more source
INITIAL VALUE PROBLEM FOR FRACTIONAL ORDER EQUATION WITH CONSTANT COEFFICIENTS
In this paper we construct an explicit representation of the solution of the Cauchy problem for ordinary differential equation of fractional order with Dzhrbashyan-Nersesyan operators.
Bogatyreva F. T.
doaj +1 more source
Objective Somatic items used in depression assessments can potentially overlap with symptoms related to physical illness, including systemic sclerosis (SSc). No studies have looked at whether somatic depression items may be influenced by diffuse versus limited SSc disease subtypes, which are associated with varying degrees of symptom presentation.
Sophie Hu +109 more
wiley +1 more source
The initial-value problem for a Gardner-type equation
Discussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry +4 more
doaj +1 more source
Linear Multistep Methods with Reduced Truncation Error for Periodic Initial-value Problems [PDF]
P.J. van der Houwen, B.P. Sommeijer
openalex +1 more source
Retractions in rheumatology: trends, causes, and implications for research integrity
Objective We aimed to describe the trends and main reasons for study retraction in rheumatology literature. Methods We reviewed the Retraction Watch database to identify retracted articles in rheumatology. We recorded the main study characteristics, authors’ countries, reasons for retraction, time from publication to retraction, and trends over time ...
Anna Maria Vettori, Michele Iudici
wiley +1 more source
Initial boundary value problem for a system in elastodynamics with viscosity
In this paper we prove existence of global solutions to boundary-value problems for two systems with a small viscosity coefficient and derive estimates uniform in the viscosity parameter. We do not assume any smallness conditions on the data.
Kayyunnapara Thomas Joseph
doaj
Mixed Initial-Boundary Value Problem for the Capillary Wave Equation
We study the mixed initial-boundary value problem for the capillary wave equation: iut+u2u=∂x3/2u, t>0, x>0; u(x,0)=u0(x), x>0; u(0,t)+βux(0,t)=h(t), t>0, where ∂x3/2u=(1/2π)∫0∞signx-y/x-yuyy(y) dy.
B. Juarez Campos +2 more
doaj +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source

