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.

Fractional Differential Equations: New Advancements for Generalized Fractional Derivatives

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Hardback by Mouffak Benchohra , Erdal Karapınar

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This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional... Read more

    Publisher: Springer International Publishing AG
    Publication Date: 11/07/2023
    ISBN13: 9783031348761, 978-3031348761
    ISBN10: 3031348761

    Number of Pages: 190

    Non Fiction , Mathematics & Science , Education

    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.

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