Nonlinear Systems of Fractional Differential Equations

Ahmad, Bashir, Ntouyas, Sotiris K.

  • 出版商: Springer
  • 出版日期: 2024-07-31
  • 售價: $7,630
  • 貴賓價: 9.5$7,249
  • 語言: 英文
  • 頁數: 592
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031625129
  • ISBN-13: 9783031625121
  • 海外代購書籍(需單獨結帳)

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)

本書研究了涉及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等不同類型的耦合分數微分系統的理論方面,並受到不同類型的非局部邊界條件的限制。分數微分系統的主題是研究的熱門和重要主題之一,因為這些系統出現在物理和技術現象的數學建模中。由於本書包含了一些關於分數微分系統非局部邊界值問題存在性理論的最新研究成果,預計將吸引對分數微分系統進行研究的研究人員、模型師和研究生的注意。

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(Bashir Ahmad)是沙特阿拉伯吉達國王阿卜杜拉齊茲大學(King Abdulaziz University)的數學學科全職教授。他於1995年在巴基斯坦伊斯蘭堡的奎德阿扎姆大學(Quaid-i-Azam University)獲得博士學位。他的研究興趣包括存在性理論和非線性邊界值問題的近似/數值方法,涉及各種微分方程和應用數學。他於2009年獲得了「阿卜杜拉齊茲大學最佳研究者」獎。他指導過多名博士和碩士研究生。他已出版了6本書籍,並在JCR期刊上發表了超過745篇研究文章。他的H指數為65。他是《數學科學通報》(Bulletin of Mathematical Sciences)的總編輯,並擔任多個期刊的編輯委員會成員。他從2014年至2019年連續六年被列為「高被引研究者」(Clarivate Analytics Database)中的數學類別。他在2018年和2019年的全球同行評審獎(Publons)中被評為數學領域評審人員的前1%。他被斯坦福大學列入2019年至2023年的「全球頂尖2%研究者」數據庫。

索提里斯·K·恩圖亞斯(Sotiris K. Ntouyas)是希臘約阿尼納大學(University of Ioannina)數學系的名譽教授。他於1972年和1980年分別獲得約阿尼納大學的學士學位和博士學位。他的研究興趣包括微分方程和包含式的初值和邊界值問題、不等式、漸近行為和可控性。他的論文已在800多本同行評審期刊上發表。他是五本書籍的合著者。他是21個國際期刊的編輯委員會成員,並且是許多國際期刊的評審人。他在2018年由Clarivate Analytics發布的「高被引研究者」名單中名列其中,並在斯坦福大學數據庫的「全球頂尖2%研究者」名單中出現於2019年至2023年。