Applications of Fractional Calculus to Modeling in Dynamics and Chaos
暫譯: 分數微積分在動力學與混沌建模中的應用

《分數微積分在動力學與混沌建模中的應用》旨在展示分數階導數的最新發展、趨勢及其在化學、力學、混沌、流行病學、流體力學、建模和工程等領域的應用。非奇異和非局部的分數階導數在不同章節中被應用於描述複雜問題。本書提供了理論和實際應用，以解決現實生活中的問題，對於對數學建模及其多樣應用感興趣的研究生、教育工作者、研究人員和科學家將會有吸引力。

特色：

• 討論現實世界中的問題、理論和應用。


• 涵蓋非線性動力學、信號處理和混沌等各個領域的新發展和進展。


• 適合教授碩士和/或博士級的研究生，並可供來自社會科學、健康科學和物理科學等任何領域的研究人員使用。

J. F. Gómez-Aguilar received the B.S. degree and M. Eng., in electrical engineering from Guanajuato University in 2005 and 2007, respectively, and Ph.D. degree in Physical from DCI, Guanajuato University in 2012. He is member of the Science and Technology National Council Engineering and Industry Recognized Referees Record (CONACYT-RCEA MEXICO). He is currently a full research professor at the Electronics Engineering Department of the National Research and Technological Development Center (CENIDET), Cuernavaca, Mor., Mexico. His scientific interests are fractional calculus, image and signal processing, control, electrochemistry, bioelectromagnetism and biomedical applications. He is serving as guest editor of some special issues, and also reviewer of more than 40 international accredited journals. He has presented and participated in more than 10 international conferences, also is author of more than 100 papers published in international journals with strict revision. His research interests are nonlinear dynamics, control theory, computational complexity, fractional dynamics, iterative methods, integral transforms and applications, signal processing, biomathematics, mathematical physics and variable order fractional calculus and applications.

Abdon Atangana is a leading applied Mathematics professor at the UFS. He obtained his honours and master's degrees from the Department of Applied Mathematics at the UFS with distinction. He obtained his PhD degree in applied mathematics from the Institute for Groundwater Studies. He serves as an editor for 18 international journals and is also a reviewer of more than 200 international accredited journals and has been awarded the world champion of peer review twice, in 2016 and 2017. He also serves on more than 20 editorial boards of applied mathematics and mathematics. He has presented and participated in more than 20 international conferences and has been invited as plenary speaker in more than 10 international conferences of applied mathematics and mathematics. His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. Since 2013 he has published in 165 international accredited journals of applied mathematics, applied physics, geo-hydrology and bio-mathematics. He is also the single author of two books in Academic Press Elsevier.

J. F. Gómez-Aguilar 於2005年和2007年分別獲得瓜納華托大學電機工程學士學位和碩士學位，並於2012年獲得瓜納華托大學DCI的物理學博士學位。他是墨西哥科學與技術國家委員會工程與工業認可審稿人名錄（CONACYT-RCEA MEXICO）的成員。目前，他是墨西哥庫埃納瓦卡國家研究與技術發展中心（CENIDET）電子工程系的全職研究教授。他的科學興趣包括分數微積分、影像與信號處理、控制、電化學、生物電磁學及生醫應用。他擔任一些特刊的客座編輯，並且是超過40本國際認可期刊的審稿人。他已在超過10場國際會議上發表和參與演講，並且是超過100篇在國際期刊上發表的經過嚴格審查的論文的作者。他的研究興趣包括非線性動力學、控制理論、計算複雜性、分數動力學、迭代方法、積分變換及其應用、信號處理、生物數學、數學物理以及變階分數微積分及其應用。

Abdon Atangana 是南非自由州大學（UFS）的一位領先應用數學教授。他以優異的成績獲得自由州大學應用數學系的榮譽學位和碩士學位。他在地下水研究所獲得應用數學的博士學位。他擔任18本國際期刊的編輯，並且是超過200本國際認可期刊的審稿人，並於2016年和2017年兩次獲得全球同行評審冠軍。他還在超過20個應用數學和數學的編輯委員會中任職。他已在超過20場國際會議上發表和參與演講，並在超過10場應用數學和數學的國際會議上被邀請擔任全體演講者。他的研究興趣包括偏微分方程和常微分方程的方法與應用、分數微分方程、擾動方法、漸近方法、迭代方法以及地下水建模。Atangana教授是當今應用數學中流行的具有非局部和非奇異核的分數微積分的創始人。自2013年以來，他已在165本應用數學、應用物理、地水文學和生物數學的國際認可期刊上發表論文。他也是Academic Press Elsevier出版的兩本書的唯一作者。