Applications of Fractional Calculus to Modeling in Dynamics and Chaos

Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order derivatives have been applied in different chapters to describe complex problems. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate-level students, educators, researchers, and scientists interested in mathematical modelling and its diverse applications. Features:

• Discusses real-world problems, theory, and applications.
• Covers new developments and advances in the various areas of nonlinear dynamics, signal processing and chaos.
• Suitable to teach Master's and/or Ph.D. level graduate students, and can be used by researchers, from any field of the social, health, and physical sciences.

《分數微積分在動力學和混沌建模中的應用》旨在介紹分數階導數在化學、力學、混沌、流行病學、流體力學、建模和工程等領域中的新發展、趨勢和應用。非奇異和非局部的分數階導數已應用於不同章節中描述複雜問題。本書提供了解決實際問題的理論和實際應用，對於研究生、教育工作者、研究人員和對數學建模及其多樣應用感興趣的科學家具有興趣。

特點：
- 討論現實世界的問題、理論和應用。
- 涵蓋非線性動力學、信號處理和混沌領域的新發展和進展。
- 適合教授碩士和/或博士級研究生，並可供社會、健康和物理科學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年分別獲得墨西哥瓜納華托大學電機工程學士和碩士學位，並於2012年獲得墨西哥瓜納華托大學物理學博士學位。他是墨西哥科學與技術國家委員會工程和工業認可裁判記錄（CONACYT-RCEA MEXICO）的成員。他目前是墨西哥庫埃爾納瓦卡市國家研究和技術發展中心（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、圖像和信號處理、控制、電化學、生物電磁學和生物醫學應用。他擔任一些特刊的客座編輯，並且是40多個國際認可期刊的審稿人。他曾在10多個國際會議上發表和參與，並且是100多篇發表在國際期刊上的論文的作者，這些期刊都經過嚴格的審查。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、積分變換及應用、信號處理、生物數學、數學物理和變序分數微積分及應用。

Abdon Atangana是UFS的領先應用數學教授。他以優異成績獲得UFS應用數學系的榮譽學位和碩士學位。他從地下水研究所獲得應用數學博士學位。他擔任18個國際期刊的編輯，並且是200多個國際認可期刊的審稿人，並於2016年和2017年兩次獲得同行評審世界冠軍。他還擔任20多個應用數學和數學的編輯委員會成員。他曾在20多個國際會議上發表和參與，並且曾應邀作為特邀報告人參加10多個應用數學和數學的國際會議。他的研究興趣包括偏微分方程和常微分方程的方法和應用、分數微分方程、擾動方法、漸近方法、迭代方法和地下水建模。Atangana教授是當今應用數學中非局部和非奇異核的分數微積分的創始人。自2013年以來，他在165個國際認可的應用數學、應用物理、地下水學和生物數學期刊上發表過文章。他還是Academic Press Elsevier出版的兩本書的單一作者。