A Unified Theory of Generalized Differentiation and Integration (Third Edition): A NEW APPROACH TO FRACTIONAL CALCULUS

※この商品はタブレットなど大きいディスプレイを備えた端末で読むことに適しています。また、文字だけを拡大することや、文字列のハイライト、検索、辞書の参照、引用などの機能が使用できません。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.