Handbook of Fractional Calculus with Applications, Volume 4: Applications in Physics, Part A

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Vasily E. Tarasov | 2019 | ISBN: 3110570882 | English | 304 pages | PDF | 82 MB

The fourth and fifth volumes of HFCA are devoted to the application of fractional calculus (FC) and fractional differential equations in different areas of physics.

Vasily E. Tarasov | 2019 | ISBN: 3110570882 | English | 304 pages | PDF | 82 MB

The fourth and fifth volumes of HFCA are devoted to the application of fractional calculus (FC) and fractional differential equations in different areas of physics.

These volumes describe the fundamental physical effects and, first of all, those that belong to fractional relaxation-oscillation or diffusion-wave phenomena. FC allows describing spatial non-locality and fading memory of power-law type, the openness of physical systems and dissipation, long-range interactions, and other physical phenomena. The most well-known physical phenomena and processes, which are described by fractional differential equations, include fractional viscoelasticity, spatial and frequency dispersion of power type, nonexponential relaxation, anomalous diffusion, and many others.

The fourth volume of HFCA focuses on the application of FC in various aspects of classical mechanics and continuum mechanics.

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