The Net Advance of Physics:
FRACTIONAL CALCULUS

FRACTIONAL CALCULUS

• General: Introductory:
  • Fractional Calculus [Math Pages]
  • A Child's Garden of Fractional Derivatives by Marcia Kleinz and Thomas J. Osler [College Mathematics Journal 31, 82 (2000)]

• General:
  • Xuru's Fractional Calculus Notes
  • Fractional Calculus: Integral and Differential Equations of Fractional Order by Rudolf Gorenflo and Francesco Mainardi [1997]
  • The Random Walk's Guide to Anomalous Diffusion: A Fractional Dynamics Approach by Ralf Metzler and Joseph Klafter [Physics Reports 339, 1 (2000)]
  • Short Introduction to Fractional Calculus by Mauro Bologna [Charlas de Física (de la Universidad de Tarapacá) 19, 41 (2005)]
  • Applications of Fractional Calculus by Mehdi Dalir and Majid Bashour [Applied Mathematical Sciences 4, 1021 (2010)]
  • Fractional Derivatives, Fractional Integrals, and Fractional Differential Equations in Matlab by Ivo Petraś [2011/10]
  • Time Fractional Formalism: Classical and Quantum Phenomena by Hosein Nasrolahpour [Prespacetime Journal 3, 99 (2012)]
  • Fractional Brownian motion in a nutshell by Georgiy Shevchenko [2014/06]
  • Review of Some Promising Fractional Physical Models by Vasily E. Tarasov [International Journal of Modern Physics B 27, 1330005 (2013)]
  • A review and evaluation of numerical tools for fractional calculus and fractional order control by Zhuo Li et al. [2015/11]
  • The Concepts and Applications of Fractional Order Differential Calculus in Modelling of Viscoelastic Systems: A primer by Mohammad Amirian Matlob and Yousef Jamali [2017/06]
  • Introducción al Cálculo Fraccional by A. Torres-Hernandez and F. Brambila-Paz [2020/11]

• Type: PRABAKHAR:
  • A practical guide to Prabakhar fractional calculus by A. Giusto et al. [2020/02]

• Type: VARIATIONAL:
  • A survey on fractional variational calculus by Ricardo Almeida and Delfim F. M. Torres [2018/06]

• Re: DIFFUSION:
  • Analytic Approaches of the Anomalous Diffusion: A Review by Maike A. F. dos Santos [2019/05]
  • Linear and Nonlinear Fractional Diffusion by Juan Pablo Borthagaray et al. [2019/06]

• Re: IMAGE PROCESSING:
  • Fractional Calculus in Image Processing: A Review by Qi Yang et al. [2016/08]

• Re: PHARMACOLOGY:
  • Fractional Calculus in Pharmacokinetics by Pantelis Sopasakis et al. [Journal of Pharmacokinetics and Pharmacodynamics 45, 107 (2018)]

• Re: VISCO-ELASTICITY:
  • The Concepts and Applications of Fractional Order Differential Calculus in Modelling of Viscoelastic Systems: A primer by Mohammad Amirian Matlob and Yousef Jamali [2017/06]

ArXiv to 2013/02.

THE NET ADVANCE OF PHYSICS