Fractional Differential Equations : New Advancements for Generalized Fractional Derivatives (Synthesis Lectures on Mathematics & Statistics) （2023）

Benchohra, Mouffak/ Karapınar, Erdal/ Lazreg, Jamal Eddine

Springer International Publishing AG（2023/07発売）

• 製本 Hardcover:ハードカバー版／ページ数 190 p.
• 言語 ENG
• 商品コード 9783031348761
• DDC分類 515.35

Full Description

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.

Contents

Introduction.- Preliminary Background.- Hybrid Fractional Differential Equations.- Fractional Differential Equations with Retardation and Anticipation.- Impulsive Fractional Differential Equations with Retardation and Anticipation.- Coupled Systems for Fractional Differential Equations.