Results 111 to 120 of about 354,882 (289)
Application of Fractional Calculus in Engineering [PDF]
, 2011 Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. It has been recognized the advantageous use of this mathematical tool in the modelling and control of many dynamical systems.
Machado, J. A. Tenreiro +4 more
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Molecular Oncology, EarlyView.Tumour heterogeneity and clonal evolution of metastatic salivary gland cancer were evaluated in two patients with adenoid carcinoma and one patient with myoepithelial carcinoma. Radiology‐guided autopsy enabled multi‐region sampling (total samples n = 149), followed by whole‐genome sequencing and phylogenetic reconstruction (17 tumour samples, 4–7 per ...
Gerben Lassche +10 more
wiley +1 more source
, 2008 [[abstract]]There are many articles that are concerned with the application of fractional calculus for solving differential equations. In this paper, we apply the N-fractional calculus operator N(γ) developed by Nishimoto to solve some liner third order ...
Chung-Yi Lee, Wen-Chyuan Yueh
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Fractional robust control of ligthly damped systems [PDF]
, 2006 The article proposes a method to design a robust controller ensuring the damping ratio of a closed-loop control. The method uses a contour para-meterized by the damping ratio in the Nichols plane and the complex non-integer (or fractional)differentiation
Janat, Yaman +3 more
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, 2013 In this paper, an incommensurate fractional order (FO) model has been proposed to generate ECG like waveforms. Earlier investigation of ECG like waveform generation is based on two identical Van-der Pol (VdP) family of oscillators, which are coupled by ...
Das, Saptarshi, Maharatna, Koushik
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Fractional vector calculus and fractional Maxwell’s equations [PDF]
Annals of Physics, 2008 The theory of derivatives and integrals of non-integer order goes back to Leibniz, Liouville, Grunwald, Letnikov and Riemann. The history of fractional vector calculus (FVC) has only 10 years. The main approaches to formulate a FVC, which are used in the physics during the past few years, will be briefly described in this paper.
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Molecular Oncology, EarlyView.We show that emergence of castration‐resistant prostate (CRPC) is associated with significant upregulation of cyclins that positively regulate cyclin‐dependent kinase 2 (CDK2) and concomitant downregulation of CDK4 cyclins. This renders CRPC cells dependent on the high activity of CDK2, and CDK2 inhibitors synergistically sensitize CRPC cells to both ...
Joyeeta Chatterjee +3 more
wiley +1 more source
An application of fractional calculus to dielectric relaxation processes
, 2012 Recently fractional calculus has been successfully applied in the description of complex dynamics and proved to be a valuable tool for the solution of non-linear differential equations.
Çavuş M., Bozdemir S.
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Gut microbiota alterations in patients with non‐small‐cell lung cancer undergoing chemoradiotherapy
Molecular Oncology, EarlyView.We investigated the impact of concurrent chemoradiotherapy (CRT) on the gut microbiota in patients with locally advanced non‐small‐cell lung cancer. Overall gut microbiota composition remained largely stable throughout CRT while antibiotic exposure may influence microbial diversity.
Hanne Marte Nymoen +19 more
wiley +1 more source