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Advanced Topics in Fractional Differential Equations: A Fixed Point Approach

Advanced Topics in Fractional Differential Equations: A Fixed Point Approach

Hardcover

Series: Synthesis Lectures on Mathematics & Statistics

General Mathematics

ISBN10: 3031269276
ISBN13: 9783031269271
Publisher: Springer
Published: May 12 2023
Pages: 180
Weight: 0.95
Height: 0.63 Width: 6.61 Depth: 9.61
Language: English

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.

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General Mathematics