Introductory Notes on Fractional Calculus

Fractional Calculus Notes By

**Diego del-Castillo-Negrete**

*Fractional Calculus: basic theory and applications (Part I)*

*Fractional Calculus: basic theory and applications (Part II)*

*Fractional Calculus: basic theory and applications (Part III)*

**Eli Barkai**'s Notes

**Eli Barkai**

- Chapter 1: characteristic functions, Abelian and Tauberian theorems, Gauss-Le'vy central limit theorem
- Chapter 3: Renewal Theory, Statistical Aging, Weak Ergodicity Breaking For a Two State Process
- Chapter 4: Continuous Time Random Walk
- Brownian Motion, Fokker-Planck Equations, Einstein Relation, Simple Kinetic Model
- Final Exercise: Fokker-Planck, First Passage Times, Generalized Langevin Equations, Fractional Kinetics, Fluctuation-Dissipation.
- Mid Term Projects

**Martin Z. Bazant**

**18.325 Random Walks and Diffusion (**

**Spring 2001**

**)**

18.366 Random Walks and Diffusion

**(**

**Spring 2006**

**)**

**Dingyu Xue and YangQuan Chen**

Solving Advanced Applied Mathematical Problems Using Matlab By

Solving Advanced Applied Mathematical Problems Using Matlab By

**Powerpoint for Book PPT site**

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