EAN: 9783031269301

ADVANCED TOPICS IN FRACTIONAL DIFFERENTIAL EQUA...

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

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