Results 31 to 40 of about 56,789 (179)

A calculus of lax fractions [PDF]

Journal of Pure and Applied Algebra, 2017
Abstract We present a notion of category of lax fractions, where lax fraction stands for a formal composition s ⁎ f with s ⁎ s = id and s s ⁎ ≤ id , and a corresponding calculus of lax fractions which generalizes the Gabriel–Zisman calculus of fractions.
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Fractional Vector Calculus and Fractional Maxwell's Equations

, 2011
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
Belleguie, Ben Adda, Ben Adda, Ben Adda, Ben Adda, Brandt, Chen, Cottrill-Shepherd, Engheta, Foley, Gelfand, Genchev, Hussain, Hussain, Kazbekov, Kilbas, Kiryakova, Laskin, Mashhoon, Mashhoon, Mashhoon, McBride, Meerschaert, Metzler, Metzler, Miller, Montroll, Naqvi, Naqvi, Nishimoto, Oldham, Pierantozzi, Podlubny, Ross, Rubin, Samko, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Vasily E. Tarasov, West, Zaslavsky, Zaslavsky   +55 more
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Applications of Fractional Calculus to Newtonian Mechanics [PDF]

, 2017
We investigate some basic applications of Fractional Calculus (FC) to Newtonian mechanics. After a brief review of FC, we consider a possible generalization of Newton's second law of motion and apply it to the case of a body subject to a constant force ...
Varieschi, Gabriele U.
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Non-local fractional model of rate independent plasticity [PDF]

, 2013
In the paper the generalisation of classical rate independent plasticity using fractional calculus is presented. This new formulation is non-local due to properties of applied fractional differential operator during definition of kinematics.
Sumelka, Wojciech
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Fractional calculus and the ESR test

AIMS Mathematics, 2017
19 pages and 2 ...
J. Vanterler da C. Sousa, E. Capelas de Oliveira, L. A. Magna   +2 more
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A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String [PDF]

, 2010
We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. Main results provide fractional versions of the
Almeida, Ricardo, Malinowska, Agnieszka B., Torres, Delfim F. M.   +2 more
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A fractional power approach to fractional calculus

Journal of Mathematical Analysis and Applications, 1990
AbstractA theory of fractional powers of operators on an arbitrary Fréchet space is discussed. As special cases, multivariable fractional integrals and derivatives defined on certain spaces of test functions and generalised functions are obtained. In particular, properties of the two-dimensional Riesz fractional integral are determined and used to ...
S.E Schiavone, Wilson Lamb
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Discretized fractional substantial calculus [PDF]

ESAIM: Mathematical Modelling and Numerical Analysis, 2014
This paper discusses the properties and the numerical discretizations of the fractional substantial integral $$I_s^ f(x)=\frac{1}{ ( )} \int_{a}^x{\left(x- \right)^{ -1}}e^{- (x- )}{f( )}d , >0, $$ and the fractional substantial derivative $$D_s^ f(x)=D_s^m[I_s^ f(x)], =m- ,$$ where $D_s=\frac{\partial}{\partial x}+ =D+ $, $ $ can ...
Minghua Chen, Weihua Deng
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Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes

, 2010
We study the fractional gravity for spacetimes with non-integer dimensions. Our constructions are based on a geometric formalism with the fractional Caputo derivative and integral calculus adapted to nonolonomic distributions.
A. Carpinteri, A. El-Nabulsi, A. El-Naulsi, A. Raspini, A.A. Kilbas, B. Ross, B.A. Carreras, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, F. Riewe, F.-Y. Ren, G.M. Zaslavsky, G.M. Zaslavsky, I. Podlubny, K. Nishimoto, K.B. Oldham, M. Naber, N. Laskin, N. Laskin, P. Zavada, S. Muslich, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, Sergiu I. Vacaru, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov   +49 more
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Basics of Qualitative Theory of Linear Fractional Difference Equations [PDF]

, 2012
Tato doktorská práce se zabývá zlomkovým kalkulem na diskrétních množinách, přesněji v rámci takzvaného (q,h)-kalkulu a jeho speciálního případu h-kalkulu.
Kisela, Tomáš
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