Fractional Differential Equations: New Advancements for Generalized Fractional Derivatives
Benchohra, Mouffak, Karapınar, Erdal, Lazreg, Jamal Eddine
- 出版商: Springer
- 出版日期: 2024-07-12
- 售價: $1,840
- 貴賓價: 9.5 折 $1,748
- 語言: 英文
- 頁數: 190
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031348796
- ISBN-13: 9783031348792
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商品描述
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
商品描述(中文翻譯)
本書涵蓋了涉及各種分數微分方程的問題，以及一些涉及廣義Hilfer分數導數的問題，該導數統一了Riemann-Liouville和Caputo分數導數。作者強調了基於該領域最新研究的各類分數微分方程的存在性、唯一性和穩定性結果。本書討論了與Banach空間中非緊性度量相關的經典和新穎的固定點定理，並解釋了如何將其作為工具來使用。作者在每一章中建立在前一章的基礎上，幫助讀者加深對主題的理解。本書包含了插圖結果、分析以及進一步研究的建議。
作者簡介
Mouffak Benchohra, Ph.D., is a Full Professor in the Department of Mathematics at Djillali Liabes University of Sidi Bel Abbes. He 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. Dr. Benchohra 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. He is on the Editorial Board of 10 international journals.
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.
Jamal Eddine Lazreg, Ph.D., is a Full Professor in the Department of Mathematics at Djillali Liabes University of Sidi Bel Abbes. He 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, Faculty of Technology, Hassiba Benbouali University of Chlef, Chlef, Algeria. He received a master's degree in Functional Analysis and Differential Euations 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)
Mouffak Benchohra, Ph.D.，是西迪貝爾阿貝斯的Djillali Liabes大學數學系的正教授。他在Tlemcen大學獲得非線性分析碩士學位，並在Djillali Liabes大學獲得數學博士學位。他的研究領域包括分數微分方程、演化方程及包含、控制理論及其應用。Benchohra博士已發表超過500篇論文和五本專著。他還曾擔任Djillali Liabes大學數學系主任，並在10本國際期刊的編輯委員會中任職。
Erdal Karapinar, Ph.D.，是Cankaya大學數學系的教授，並擔任台中中國醫藥大學的訪問教授。他於2004年在土耳其中東技術大學（METU）獲得博士學位。他在同行評審的期刊上發表了超過400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。
Jamal Eddine Lazreg, Ph.D.，是西迪貝爾阿貝斯的Djillali Liabes大學數學系的正教授。他在Djillali Liabes大學獲得函數分析碩士學位，並在Djillali Liabes大學獲得微分方程博士學位。他的研究領域包括分數微分方程和包含。
Abdelrkim Salim, Ph.D.，是阿爾及利亞Chlef的Hassiba Benbouali大學技術學院的副教授。他在Djillali Liabès大學獲得函數分析和微分方程的碩士學位，並在Djillali Liabes大學獲得數學分析及其應用的博士學位。他的研究領域包括分數微分方程和包含，以及控制理論及其應用。
