Fractals and Fractional Calculus in Continuum Mechanics

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Additional Information Y. Francesco Mainardi , Fractional relaxation-oscillation and fractional diffusion-wave phenomena , Chaos Solitons Fractals 7 , no.

Fractals and fractional calculus in continuum mechanics - Google книги

Mainardi , Fractional calculus: some basic problems in continuum and statistical mechanics , Fractals and fractional calculus in continuum mechanics Udine, CISM Courses and Lect. Theo F. Nonnenmacher and Ralf Metzler , Applications of fractional calculus techniques to problems in biophysics , Applications of fractional calculus in physics, World Sci. Metzler and T. Nonnenmacher, Space- and time-fractional diffusion and wave equations, fractional Fokker-Planck equations, and physical motivation, Chem. Zaslavsky , Chaos, fractional kinetics, and anomalous transport , Phys.

Metzler and J. Klafter, Accelerated Brownian motion: A fractional dynamics approach to fast diffusion, Europhys. Elliott W. Montroll and Michael F. MR Metzler, J. Klafter, and I. Sokolov, Anomalous transport in external fields: Continuous time random walks and fractional diffusion equation extended, Phys. E 58 , Zumofen and J. Klafter, Scale-invariant motion in intermittent chaotic systems, Phys. E 47 , Metzler and A. Compte, Stochastic foundation of normal and anomalous Cattaneo-type transport, Physica A , Mainardi , The fundamental solutions for the fractional diffusion-wave equation , Appl.

Walter Wyss , The fractional diffusion equation , J. Schneider and W.

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Wyss , Fractional diffusion and wave equations , J. A , no. Hilfer, Fractional diffusion based on Riemann-Liouville fractional derivatives, J. B , Andrzej Hanyga , Multidimensional solutions of time-fractional diffusion-wave equations , R. A Math. Povstenko , Fractional heat conduction equation and associated thermal stress , J. Thermal Stresses 28 , no.

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Povstenko , Stresses exerted by a source of diffusion in a case of a non-parabolic diffusion equation , Internat. Povstenko , Two-dimensional axisymmetric stresses exerted by instantaneous pulses and sources of diffusion in an infinite space in a case of time-fractional diffusion equation , Internat. Solids Structures 44 , no. Povstenko , Fundamental solutions to three-dimensional diffusion-wave equation and associated diffusive stresses , Chaos Solitons Fractals 36 , no. Povstenko, Fractional radial diffusion in a cylinder, J.

Gorenflo and F. Mainardi , Fractional calculus: integral and differential equations of fractional order , Fractals and fractional calculus in continuum mechanics Udine, CISM Courses and Lect. Anatoly A.

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Kilbas , Hari M. Srivastava , and Juan J.

Trujillo , Theory and applications of fractional differential equations , North-Holland Mathematics Studies, vol. Tricomi , Higher transcendental functions. Based, in part, on notes left by Harry Bateman. Carslaw and J. Galitsyn and A. In Russian. Prudnikov , Yu. Brychkov , and O.

Fractional Calculus

Mainardi, Fractional relaxation-oscillation and fractional diffusion-wave phenomena, Chaos, Solitons and Fractals 7 , MR 97i 2. Mainardi, Fractional calculus: Some basic problems in continuum and statistical mechanics. In: A. Carpinteri and F. Tomasz Sadowski.

Fractals and Fractional Calculus in Continuum Mechanics

William B. Jacques Rondal. Miklos Ivanyi. Adam Morecki.


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Bestselling Series. Harry Potter. Popular Features. New Releases. Fractals and Fractional Calculus in Continuum Mechanics. Description The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest.

In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications. Product details Format Paperback pages Dimensions x x Illustrations note 74 Illustrations, black and white; VI, p. Other books in this series. Mesoscale Models Sinisa Mesarovic. Add to basket.

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