Fractional Equations and Models: Theory and Applications

✍ Scribed by Trifce Sandev, Živorad Tomovski

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 357
• Series: Developments in Mathematics 61
• Edition: 1st ed. 2019
• Category: Library

✦ Synopsis

Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed. The present book seeks to demonstrate this using various examples of equations and models with fractional and generalized operators. Intended for students and researchers in mathematics, physics, chemistry, biology and engineering, it systematically offers a wealth of useful tools for fractional calculus.

✦ Table of Contents

Front Matter ....Pages i-xviii
Introduction: Mittag-Leffler and Other Related Functions (Trifce Sandev, Živorad Tomovski)....Pages 1-28
Generalized Differential and Integral Operators (Trifce Sandev, Živorad Tomovski)....Pages 29-59
Cauchy Type Problems (Trifce Sandev, Živorad Tomovski)....Pages 61-114
Fractional Diffusion and Fokker-Planck Equations (Trifce Sandev, Živorad Tomovski)....Pages 115-211
Fractional Wave Equations (Trifce Sandev, Živorad Tomovski)....Pages 213-245
Generalized Langevin Equation (Trifce Sandev, Živorad Tomovski)....Pages 247-300
Fractional Generalized Langevin Equation (Trifce Sandev, Živorad Tomovski)....Pages 301-335
Back Matter ....Pages 337-345

✦ Subjects

Mathematics; Mathematical Physics; Mathematical Methods in Physics; Probability Theory and Stochastic Processes; Complex Systems; Partial Differential Equations; Special Functions