Handbook of Fractional Calculus with Applications: Applications in Physics, Part A (De Gruyter Reference)

Description

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics. Cover Handbook of Fractional Calculus with Applications, Volume 4: Applications in Physics, Part A © 2019 Preface Contents 1 Fractional Van der Pol oscillator 2 Fractional Lagrangian and Hamiltonian mechanics with memory 3 Fractional relaxation-oscillation phenomena 4 Fractional calculus and long-range interactions 5 Dynamics of nonlinear systems with power-law memory 6 Fractional oscillator basics 7 Fractional viscoelasticity 8 Relationships between 1D and space fractals and fractional integrals and their applications in physics 9 Thermodiffusion in a deformable solid: fractional calculus approach 10 Fractional generalizations of gradient mechanics 11 Application of fractional calculus to fractal media 12 Fractional-order constitutive equations in mechanics and thermodynamics Index