A Unified Theory of Generalized Differentiation and Integration－A New Approach to Fractional Calculus Third Edition [単行本]

A Unified Theory of Generalized Differentiation and Integration－A New Approach to Fractional Calculus Third Edition の 商品概要

• 内容紹介

  The subject of this book is the fractional calculus which treats differentiation and integration to fractional order. This book presents a new approach to the fractional calculus being based on linear differentiator-like operators to arbitrary order. In this book, many theorems, corollaries, and lemmas are derived to reveal the properties of fractional differentiation and integration. Various special functions of arbitrary order are derived from this theory. Applications are also given to the solutions of basic differintegral equations, diffusion equations, Schroedinger's equations, electric circuits, and electromagnetic wave propagation problems.

• 著者について

  Takahiro Inoue (タカヒロ　イノウエ)
  Takahiro INOUE is a professor emeritus, Kumamoto University, a Doctor of Engineering, and a Fellow of IEICE(The Institute of Electronics, Information and Communication Engineers).
  Up to now, he has published 175 journal papers and 108 proceedings papers of international conferences.

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