Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
暫譯: 哈達瑪德型分數微分方程、包含與不等式

Ahmad, Bashir, Alsaedi, Ahmed, Ntouyas, Sotiris K.

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
  • 出版商: Springer
  • 出版日期: 2018-05-04
  • 售價: $4,890
  • 貴賓價: 9.5 折 $4,646
  • 語言: 英文
  • 頁數: 414
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3319848313
  • ISBN-13: 9783319848310

    • 海外代購書籍(需單獨結帳)

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商品描述

This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. Through a comprehensive study based in part on their recent research, the authors address the issues related to initial and boundary value problems involving Hadamard type differential equations and inclusions as well as their functional counterparts. The book covers fundamental concepts of multivalued analysis and introduces a new class of mixed initial value problems involving the Hadamard derivative and Riemann-Liouville fractional integrals. In later chapters, the authors discuss nonlinear Langevin equations as well as coupled systems of Langevin equations with fractional integral conditions. Focused and thorough, this book is a useful resource for readers and researchers interested in the area of fractional calculus.

商品描述(中文翻譯)

本書專注於分數微分方程、積分微分方程以及涉及 Hadamard 導數和積分的包含與不等式的最新發展。透過部分基於他們近期研究的綜合性研究，作者探討了與涉及 Hadamard 類型微分方程和包含的初始及邊界值問題相關的議題，以及它們的函數對應。書中涵蓋了多值分析的基本概念，並介紹了一類新的混合初始值問題，這些問題涉及 Hadamard 導數和 Riemann-Liouville 分數積分。在後面的章節中，作者討論了非線性 Langevin 方程以及具有分數積分條件的耦合 Langevin 方程系統。本書內容專注且深入，是對於有興趣於分數微積分領域的讀者和研究者來說，十分有用的資源。

作者簡介

Bashir Ahmad is a professor in the Department of Mathematics at King Abdulaziz University, and in 2009 he was awarded Best Researcher of King Abdulaziz University. His field of research is differential equations and applications, specifically in topics such as set-valued differential equations, functional differential equations, stability analysis, and fluid mechanics.
Ahmed Alsaedi is an associate professor and the chairman of the Department of Mathematics at King Abdulaziz University.
Sotiris K. Ntouyas is professor emeritus in the Department of Mathematics at the University of Ioannina. He's published numerous books and articles throughout his career, including "Existence results for fractional order functional differential equations with infinite delay," which was awarded the "Top Cited Article 2005-2010" by the Journal of Mathematical Analysis & Applications.
Jessada Tariboon is a professor in the Department of Mathematics at King Mongkut's University of Technology. He is an editor for King Mongkut's Universty of Technology's International Journal of Applied Science and Technology.

作者簡介(中文翻譯)

巴希爾·艾哈邁德（Bashir Ahmad）是阿卜杜勒阿齊茲國王大學（King Abdulaziz University）數學系的教授，並於2009年獲得阿卜杜勒阿齊茲國王大學最佳研究者獎。他的研究領域為微分方程及其應用，特別是在集合值微分方程、泛函微分方程、穩定性分析和流體力學等主題上。

艾哈邁德·阿爾賽迪（Ahmed Alsaedi）是阿卜杜勒阿齊茲國王大學數學系的副教授及系主任。

索提里斯·K·恩圖亞斯（Sotiris K. Ntouyas）是伊奧安尼納大學（University of Ioannina）數學系的名譽教授。他在職業生涯中發表了許多書籍和文章，包括《具有無限延遲的分數階泛函微分方程的存在性結果》（'Existence results for fractional order functional differential equations with infinite delay'），該文獲得《數學分析與應用期刊》（Journal of Mathematical Analysis & Applications）頒發的2005-2010年「引用次數最高文章」獎。

傑薩達·塔里布恩（Jessada Tariboon）是孔孟科技大學（King Mongkut's University of Technology）數學系的教授。他是孔孟科技大學應用科學與技術國際期刊（International Journal of Applied Science and Technology）的編輯。

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