Advanced topics in fractional differential equations : a fixed point approach
著者
書誌事項
Advanced topics in fractional differential equations : a fixed point approach
（Synthesis lectures on mathematics and statistics）（Synthesis collection of technology）
Springer, c2023
大学図書館所蔵 件 / 全1件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Other editors: Erdal Karapinar, Jamal Eddine Lazreg, Abdelkrim Salim
Includes bibliographical references and index
内容説明・目次
内容説明
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
目次
Introduction.- Preliminary Background.- Implicit Fractional Differential Equations.- Fractional Differential Equations with Instantaneous Impulses.- Fractional Differential Equations with Non-Instantaneous Impulses.
「Nielsen BookData」 より