Fractional Differential Equations

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Mouffak Benchohra, Ph.D., is a Full Professor in the Department of Mathematics at Djillali Liabes University of Sidi Bel Abbes. He received a master's degree in Nonlinear Analysis from Tlemcen University and a Ph.D. in Mathematics from Djillali Liabes University, Sidi Bel Abbes. His research fields include fractional differential equations, evolution equations and inclusions, and control theory and applications. Dr. Benchohra has published more than 500 papers and five monographs. He has also occupied the position of head of department of mathematics at Djillali Liabes University, Sidi Bel Abbes. He is on the Editorial Board of 10 international journals.

Erdal Karapinar, Ph.D., is a Professor in the Department of Mathematics at Cankaya University and Visiting Professor at the China Medical University of Taichung. He completed his Ph.D. at the Middle East Technical University (METU), Turkiye, in 2004. He has written more than 400 research articles in peer reviewed journals. His research interests include functional analysis and metric fixed point theory.

Jamal Eddine Lazreg, Ph.D., is a Full Professor in the Department of Mathematics at Djillali Liabes University of Sidi Bel Abbes. He received a master's degree in Functional Analysis from Djillali Liabes University and a Ph.D. in Differential Equations from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions.

Abdelrkim Salim, Ph.D., is an Associate Professor, Faculty of Technology, Hassiba Benbouali University of Chlef, Chlef, Algeria. He received a master's degree in Functional Analysis and Differential Euations from Djillali Liabès University and a Ph.D. in mathematical analysis and applications from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions, and control theory and applications.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2024
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Synthesis Lectures on Mathematics & Statistics
Inhalt:	xi 190 S. 1 s/w Illustr. 190 p. 1 illus.
ISBN-13:	9783031348792
ISBN-10:	3031348796
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Benchohra, Mouffak Karap¿nar, Erdal Lazreg, Jamal Eddine Salim, Abdelkrim
Hersteller:	Springer Birkhäuser Springer International Publishing AG Synthesis Lectures on Mathematics & Statistics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	240 x 168 x 12 mm
Von/Mit:	Mouffak Benchohra (u. a.)
Erscheinungsdatum:	12.07.2024
Gewicht:	0,352 kg