Mouffak Benchohra,Erdal Karapinar,Jamal Eddine Lazreg,Abdelkrim Salim
Advanced Topics in Fractional Differential Equations: A Fixed Point Approach
Advanced Topics in Fractional Differential Equations: A Fixed Point Approach
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- More about Advanced Topics in Fractional Differential Equations: A Fixed Point Approach
This book explores fractional differential equations with a fixed point approach, highlighting existence, uniqueness, and stability results for various classes of equations. It also discusses the Hilfer fractional derivative, and employs classical and new fixed point theorems to study noncompactness in Banach spaces.
Format: Hardback
Length: 180 pages
Publication date: 12 May 2023
Publisher: Springer International Publishing AG
·        Discusses the existence,uniqueness,and stability of solutions for various classes of fractional differential equations ·        Deals with the Hilfer fractional derivative,which unifies the Riemann-Liouville and Caputo fractional derivatives ·        Offers suggestions for further study in the field
This comprehensive book delves into the realm of fractional differential equations, employing a fixed point approach. The authors emphasize the existence, uniqueness, and stability outcomes for diverse classes of fractional differential equations. Each problem in the book revolves around some variant of the well-known Hilfer fractional derivative, which harmonizes the Riemann-Liouville and Caputo fractional derivatives. Classical and innovative fixed point theorems, coupled with the measure of noncompactness in Banach spaces, are utilized as powerful tools.
The foundation of this book is rooted in extensive research conducted over several years. Furthermore, the authors offer insightful suggestions for future exploration in this field. To enhance the readers' comprehension of the discussed concepts, illustrations have been incorporated throughout the text.
By exploring the complexities of fractional differential equations through a fixed point lens, this book provides a valuable resource for scholars and researchers alike. Its comprehensive coverage, coupled with illustrative examples, makes it an essential tool for those seeking to advance their knowledge in this field.
Weight: 508g
Dimension: 240 x 168 (mm)
ISBN-13: 9783031269271
Edition number: 1st ed. 2023
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