Fractional Differential Equations: New Advancements for Generalized Fractional Derivatives: Synthesis Lectures on Mathematics & Statistics
Autor Mouffak Benchohra, Erdal Karapınar, Jamal Eddine Lazreg, Abdelkrim Salimen Limba Engleză Hardback – 11 iul 2023
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Specificații
ISBN-13: 9783031348761
ISBN-10: 3031348761
Pagini: 190
Ilustrații: XI, 190 p. 1 illus.
Dimensiuni: 168 x 240 x 19 mm
Greutate: 0.5 kg
Ediția:2023
Editura: Springer Nature Switzerland
Colecția Springer
Seria Synthesis Lectures on Mathematics & Statistics
Locul publicării:Cham, Switzerland
ISBN-10: 3031348761
Pagini: 190
Ilustrații: XI, 190 p. 1 illus.
Dimensiuni: 168 x 240 x 19 mm
Greutate: 0.5 kg
Ediția:2023
Editura: Springer Nature Switzerland
Colecția Springer
Seria Synthesis Lectures on Mathematics & Statistics
Locul publicării:Cham, Switzerland
Cuprins
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.
Notă biografică
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.
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.
Textul de pe ultima copertă
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.
Caracteristici
Contains solutions based on the most recent research in the area including the use of fixed point theorems as tools Highlights the existence, uniqueness, and stability results for various classes of fractional differential equations Includes illustrations and analysis in order to support the readers’ understanding of the concepts presented