Results 41 to 50 of about 649,336 (290)
Numerical approximations for a fully fractional Allen-Cahn equation
A finite element scheme for an entirely fractional Allen-Cahn equation with non-smooth initial data is introduced and analyzed. In the proposed nonlocal model, the Caputo fractional in-time derivative and the fractional Laplacian replace the standard ...
Acosta, Gabriel, Bersetche, Francisco
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The present study aims to investigate a new fractional model describing the dynamical behaviour of the tuberculosis infection. In this new formulation, we use a recently introduced fractional operator with Mittag–Leffler nonsingular kernel.
Malik Zaka Ullah +2 more
doaj +1 more source
Sir epidemic and predator - prey models of fractional-order [PDF]
Recently, many deterministic mathematical models such as ordinary differential equations have been extended to fractional models, which are transformed using fractional differential equations.
Abiodun Ezekiel, Owoyemi
core
Pinning control of fractional-order weighted complex networks [PDF]
In this paper, we consider the pinning control problem of fractional-order weighted complex dynamical networks. The well-studied integer-order complex networks are the special cases of the fractional-order ones. The network model considered can represent
Jian-an Fang +5 more
core +1 more source
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
wiley +1 more source
ABSTRACT Arteriovenous malformations (AVMs) are rare, high‐flow, vascular anomalies that can occur either sporadically or as part of a genetic syndrome. AVMs can progress with serious morbidity and even mortality if left unchecked. Sirolimus is an mTOR inhibitor that is effective in low‐flow vascular malformations; however, its role in AVMs is unclear.
Will Swansson +3 more
wiley +1 more source
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo
This paper applies fractional calculus to a practical example in fluid mechanics, illustrating its impact beyond traditional integer order calculus. We focus on the classic problem of a rigid body rotating within a uniformly rotating container, which ...
Mustafa Turkyilmazoglu, A. S. Alofi
doaj +1 more source
Stability Analysis of a Fractional-Order Linear System Described by the Caputo–Fabrizio Derivative
In this paper, stability analysis of a fractional-order linear system described by the Caputo⁻Fabrizio (CF) derivative is studied. In order to solve the problem, character equation of the system is defined at first by using the Laplace transform ...
Hong Li +3 more
doaj +1 more source
Fractional Sensitivity Equation Method: Application to Fractional Model Construction
Fractional differential equations provide a tractable mathematical framework to describe anomalous behavior in complex physical systems, yet they introduce new sensitive model parameters, i.e. derivative orders, in addition to model coefficients. We formulate a sensitivity analysis of fractional models by developing a fractional sensitivity equation ...
Kharazmi, Ehsan, Zayernouri, Mohsen
openaire +3 more sources
FRACTIONAL COINTEGRATION IN STOCHASTIC VOLATILITY MODELS [PDF]
Asset returns are frequently assumed to be determined by one or more common factors. We consider a bivariate factor model where the unobservable common factor and idiosyncratic errors are stationary and serially uncorrelated but have strong dependence in higher moments.
Afonso Gonçalves da Silva +1 more
openaire +4 more sources

