Construction and Physical Application Of The Fractional Calculus by Nicholas Wheeler

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Construction and Physical Application Of The Fractional Calculus written by Nicholas Wheeler, Reed College Physics Department
. This is an other book of mathematics cover the following topics.

Introduction

1. Elementary preliminaries

2. Gr ¨unwald’s construction

3. The Riemann-Liouville construction.

4. Further elaborations.

5. Abel’s solution of the tautochrone problem.

6. Heaviside’s solution of the diffusion equation

7. Riesz’ “method of dimensional ascent.”

8. Application to the mensuration of hyperspheres

9. Application to the differention of fractal curves.

10. Charge density on a needle

11. Eigenfunctions of derivative operators of integral/fractional order.