Advanced Topics in Fractional Differential Equations: A Fixed Point Approach

Benchohra, Mouffak, Karapinar, Erdal, Lazreg, Jamal Eddine

Advanced Topics in Fractional Differential Equations: A Fixed Point Approach
  • 出版商: Springer
  • 出版日期: 2024-05-12
  • 售價: $1,820
  • 貴賓價: 9.5 折 $1,729
  • 語言: 英文
  • 頁數: 180
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031269306
  • ISBN-13: 9783031269301

    • 海外代購書籍(需單獨結帳)

商品描述

This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical and new fixed point theorems, associated with the measure of noncompactness in Banach spaces as well as several generalizations of the Gronwall's lemma, are employed as tools. The book is based on many years of research in this area, and provides suggestions for further study as well. The authors have included illustrations in order to support the readers' understanding of the concepts presented.

Includes illustrations in order to support readers understanding of the presented concepts

- Approaches the topic of fractional differential equations while employing fixed point theorems as tools

- Presents novel results, which build upon previous literature and many years of research by the authors


商品描述(中文翻譯)

本書以固定點方法探討分數微分方程。作者們強調了各種類型的分數微分方程的存在性、唯一性和穩定性結果。本書中的所有問題都涉及到著名的Hilfer分數導數的某種形式，該導數統一了Riemann-Liouville和Caputo分數導數。經典和新的固定點定理，以及巴拿赫空間中的非緊致度量和Gronwall引理的幾個推廣，被用作工具。本書基於多年的研究，並提供了進一步研究的建議。作者還包含了插圖，以支持讀者對所呈現概念的理解。

- 通過使用固定點定理作為工具，探討分數微分方程的主題。
- 提出了建立在先前文獻和作者多年研究基礎上的新結果。

作者簡介

Erdal Karapinar, Ph.D., is a Professor in the Department of Mathematics at Cankaya University and Visiting Professor at the China Medical University of Taichung. He completed his Ph.D. at the Middle East Technical University (METU), Turkiye, in 2004. He has written more than 400 research articles in peer reviewed journals. His research interests include functional analysis and metric fixed point theory.

Mouffak Benchohra, Ph.D., is a Full Professor in the Department of Mathematics at Djillali Liabes University of Sidi Bel Abbes. Dr. Benchohra received a master's degree in Nonlinear Analysis from Tlemcen University, and a Ph.D. in Mathematics from Djillali Liabes University, Sidi Bel Abbes. His research fields include fractional differential equations, evolution equations and inclusions, and control theory and applications. He has published more than 500 papers and five monographs. He has also occupied the position of head of department of mathematics at Djillali Liabes University, Sidi Bel Abbes. Dr. Benchohra is on the Editorial Board of 10 international journals.

Jamal Eddine Lazreg, Ph.D., is a Full Professor in the Department of Mathematics at Djillali Liabes University of Sidi Bel Abbes. Dr. Lazreg received a master's degree in functional analysis from Djillali Liabes University and a Ph.D. in differential equations from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions.

Abdelrkim Salim, Ph.D., is an Associate Professor of Technology at Hassiba Benbouali University of Chlef. Dr. Salim received a master's degree in functional analysis and differential equations from Djillali Liabès University and a Ph.D. in mathematical analysis and applications from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions, and control theory and applications.

作者簡介(中文翻譯)

Erdal Karapinar博士是Cankaya大學數學系的教授，也是中國台中醫學大學的客座教授。他於2004年在土耳其中東技術大學（METU）完成博士學位。他在同行評審期刊上發表了400多篇研究文章。他的研究興趣包括函數分析和度量不動點理論。

Mouffak Benchohra博士是西迪貝爾阿貝斯大學數學系的教授。Benchohra博士在特萊姆森大學獲得了非線性分析碩士學位，並在西迪貝爾阿貝斯大學獲得了數學博士學位。他的研究領域包括分數階微分方程、演化方程和包含關係、控制理論和應用。他發表了500多篇論文和五本專著。他還曾擔任西迪貝爾阿貝斯大學數學系主任。Benchohra博士是10本國際期刊的編輯委員會成員。

Jamal Eddine Lazreg博士是西迪貝爾阿貝斯大學數學系的教授。Lazreg博士在西迪貝爾阿貝斯大學獲得了函數分析碩士學位，並在西迪貝爾阿貝斯大學獲得了微分方程博士學位。他的研究領域包括分數階微分方程和包含關係。

Abdelrkim Salim博士是Chlef Hassiba Benbouali大學的技術副教授。Salim博士在Djillali Liabès大學獲得了函數分析和微分方程碩士學位，並在西迪貝爾阿貝斯大學獲得了數學分析和應用博士學位。他的研究領域包括分數階微分方程和包含關係、控制理論和應用。

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