Fractional calculus with applications in mechanics / Teodor M. Atanackovic, Stevan Pilipovic, Bogoljub Stankovic.

Includes bibliographical references and index.

PART 1. MATHEMATICAL PRELIMINARIES, DEFINITIONS AND PROPERTIES OF FRACTIONAL INTEGRALS AND DERIVATIVES Chapter 1. Mathematical Preliminaries Chapter 2. Basic Definitions and Properties of Fractional Integrals and Derivatives PART 2. MECHANICAL SYSTEMS Chapter 3. Restrictions Following from the Thermodynamics for Fractional Derivative Models of a Viscoelastic Body Chapter 4. Vibrations with Fractional Dissipation Chapter 5. Lateral Vibrations and Stability of Viscoelastic Rods Chapter 6. Fractional Diffusion-Wave Equations Chapter 7. Fractional Heat Conduction Equations