Conformable Dynamic Equations on Time Scales
暫譯: 時間尺度上的可適應動態方程式
Anderson, Douglas R., Georgiev, Svetlin G.
- 出版商: CRC
- 出版日期: 2022-02-01
- 售價: $2,830
- 貴賓價: 9.5 折 $2,689
- 語言: 英文
- 頁數: 336
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0367523108
- ISBN-13: 9780367523107
海外代購書籍(需單獨結帳)
商品描述
The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and Leibniz in which the question of a half-order derivative was posed. Since then, many formulations of fractional derivatives have appeared. Recently, a new definition of fractional derivative, called the "fractional conformable derivative," has been introduced. This new fractional derivative is compatible with the classical derivative and it has attracted attention in areas as diverse as mechanics, electronics, and anomalous diffusion.
Conformable Dynamic Equations on Time Scales is devoted to the qualitative theory of conformable dynamic equations on time scales. This book summarizes the most recent contributions in this area, and vastly expands on them to conceive of a comprehensive theory developed exclusively for this book. Except for a few sections in Chapter 1, the results here are presented for the first time. As a result, the book is intended for researchers who work on dynamic calculus on time scales and its applications.
Features
- Can be used as a textbook at the graduate level as well as a reference book for several disciplines
- Suitable for an audience of specialists such as mathematicians, physicists, engineers, and biologists
- Contains a new definition of fractional derivative
About the Authors
Douglas R. Anderson is professor and chair of the mathematics department at Concordia College, Moorhead. His research areas of interest include dynamic equations on time scales and Ulam-type stability of difference and dynamic equations. He is also active in investigating the existence of solutions for boundary value problems.
Svetlin G. Georgiev is currently professor at Sorbonne University, Paris, France and works in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, dynamic calculus on time scales, and integral equations.
商品描述(中文翻譯)
非整數階導數的概念，稱為分數導數，最早出現在L'Hopital與Leibniz之間的信件中，當中提出了半階導數的問題。自那時以來，許多分數導數的表述相繼出現。最近，提出了一種新的分數導數定義，稱為「分數相容導數」（fractional conformable derivative）。這種新的分數導數與經典導數相容，並在機械學、電子學和異常擴散等多個領域引起了關注。
時間尺度上的相容動態方程專注於時間尺度上相容動態方程的定性理論。本書總結了該領域最新的貢獻，並在此基礎上大幅擴展，構思出一個專為本書發展的綜合理論。除了第一章中的幾個部分外，這裡的結果是首次提出。因此，本書旨在為從事時間尺度上動態微積分及其應用的研究人員提供參考。
特色
- 可作為研究生層級的教科書，也可作為多個學科的參考書
- 適合數學家、物理學家、工程師和生物學家等專家讀者
- 包含分數導數的新定義
關於作者
Douglas R. Anderson是Moorhead的Concordia College數學系教授及系主任。他的研究興趣包括時間尺度上的動態方程以及差分和動態方程的Ulam型穩定性。他也積極研究邊值問題解的存在性。
Svetlin G. Georgiev目前是法國巴黎索邦大學的教授，並在數學的各個領域工作。他目前專注於調和分析、偏微分方程、常微分方程、Clifford和四元數分析、時間尺度上的動態微積分以及積分方程。
作者簡介
About the Authors
Douglas R. Anderson is professor and chair of the mathematics department at Concordia College, Moorhead. His research areas of interest include dynamic equations on time scales and Ulam-type stability of difference and dynamic equations. He is also active in investigating the existence of solutions for boundary value problems.
Svetlin G. Georgiev is currently professor at Sorbonne University, Paris, France and works in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, dynamic calculus on time scales and integral equations.
作者簡介(中文翻譯)
關於作者
道格拉斯·R·安德森是摩爾黑德的康考迪亞學院數學系教授及系主任。他的研究興趣包括時間尺度上的動態方程以及差分和動態方程的烏拉姆型穩定性。他也積極研究邊值問題解的存在性。
斯維特林·G·喬治耶夫目前是法國巴黎索邦大學的教授，並在數學的各個領域工作。他目前專注於調和分析、偏微分方程、常微分方程、克利福德和四元數分析、時間尺度上的動態微積分以及積分方程。
