Nonlinear Systems of Fractional Differential Equations
暫譯: 非線性分數微分方程系統
Ahmad, Bashir, Ntouyas, Sotiris K.
- 出版商: Springer
- 出版日期: 2024-07-31
- 售價: $7,920
- 貴賓價: 9.5 折 $7,524
- 語言: 英文
- 頁數: 592
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031625129
- ISBN-13: 9783031625121
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商品描述
This book studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville, Caputo, ψ-Riemann--Liouville, Hilfer, ψ--Hilfer, Hadamard, Hilfer--Hadamard, Erdelyi--Kober, (k, ψ)-Hilfer, generalized, Proportional, ψ-Proportional, Hilfer--proportional, ψ-Hilfer--proportional type fractional derivative operators, subject to different types of nonlocal boundary conditions. The topic of fractional differential systems is one of the hot and important topics of research as such systems appear in the mathematical modeling of physical and technical phenomena. As the book contains some recent new work on the existence theory for nonlocal boundary value problems of fractional differential systems, it is expected that it will attract the attention of researchers, modelers and graduate students who are interested in doing their research on fractional differential systems.
商品描述(中文翻譯)
本書研究各種耦合分數微分系統的理論方面，涉及 Riemann-Liouville、Caputo、κ-Riemann-Liouville、Hilfer、κ-Hilfer、Hadamard、Hilfer-Hadamard、Erdelyi-Kober、(k, κ)-Hilfer、廣義、比例、κ-比例、Hilfer-比例、κ-Hilfer-比例型分數導數運算子，並考慮不同類型的非局部邊界條件。分數微分系統的主題是當前熱門且重要的研究領域，因為這類系統出現在物理和技術現象的數學建模中。由於本書包含一些關於分數微分系統非局部邊界值問題存在理論的最新研究，預期將吸引對分數微分系統研究感興趣的研究人員、建模者和研究生的注意。
作者簡介
Bashir Ahmad is Full Professor of Mathematics at King Abdulaziz University, Jeddah, Saudi Arabia. He received his Ph.D. degree from Quaid-i-Azam University, Islamabad, Pakistan in 1995. His research interest includes existence theory and approximate/numerical methods for nonlinear boundary value problems involving a variety of differential equations, and applied mathematics. He was honored with "Best Researcher of King Abdulaziz University" award in 2009. He supervised several Ph.D. and M.Phil./M.Sc. students. He has published 6 books and more than 745 research articles in JCR journals. His H-index is 65. He is the Managing Editor of Bulletin of Mathematical Sciences and member of editorial boards of several journals. He has been "Highly Cited Researcher" in the category of Mathematics from 2014 to 2019 (Clarivate Analytics Database). He was the top 1% of reviewers in Mathematics on Publons for the 2018 and 2019 global Peer Review Awards. He was included in the World's Top 2% Researchers Database by Stanford University from 2019 to 2023.
Sotiris K. Ntouyas is Professor Emeritus in the Department of Mathematics of the University of Ioannina, Greece. He received his BS degree and PhD from the University of Ioannina, in 1972 and 1980, respectively. His research interests include initial and boundary value problems for differential equations and inclusions, inequalities, asymptotic behavior and controllability. More than 800 of his papers have appeared in refereed journals. He is the co-author of five books. He is a member of 21 international journals' Editorial Boards, and a reviewer for many international journals. He appears in the 2018 list, published by Clarivate Analytics, of Highly Cited Researchers, and appears in the World's Top 2% Researcher lists 2019-2023 of Stanford University Database.
作者簡介(中文翻譯)
**巴希爾·艾哈邁德**是沙烏地阿拉伯吉達的阿卜杜勒阿齊茲國王大學數學系的全職教授。他於1995年在巴基斯坦伊斯蘭堡的奎德·阿扎姆大學獲得博士學位。他的研究興趣包括存在理論以及針對各種微分方程的非線性邊界值問題的近似/數值方法，還有應用數學。他於2009年獲得「阿卜杜勒阿齊茲國王大學最佳研究者」獎。他指導了多位博士及碩士（M.Phil./M.Sc.）學生。他已出版6本書籍及745篇以上的JCR期刊研究文章。他的H指數為65。他是《數學科學通訊》的主編，並且是多本期刊的編輯委員會成員。他在2014年至2019年期間被評為數學領域的「高被引研究者」（Clarivate Analytics Database）。他在2018年和2019年的全球同行評審獎中，為數學領域的評審中排名前1%。他於2019年至2023年被史丹佛大學列入全球前2%研究者資料庫。
**索提里斯·K·恩圖亞斯**是希臘伊奧尼納大學數學系的名譽教授。他於1972年和1980年分別在伊奧尼納大學獲得學士學位和博士學位。他的研究興趣包括微分方程和包含的初始及邊界值問題、不等式、漸近行為和可控性。他的論文在經過審核的期刊上發表超過800篇。他是五本書的共同作者。他是21本國際期刊的編輯委員會成員，並且是多本國際期刊的審稿人。他出現在2018年由Clarivate Analytics發佈的高被引研究者名單中，並且在2019至2023年期間被史丹佛大學資料庫列入全球前2%研究者名單。
