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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.

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