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