Mouffak Benchohra, Soufyane Bouriah, Abdelkrim Salim, Yong Zhou

Fractional Differential Equations (eBook, PDF)

A Coincidence Degree Approach

• Format: PDF

Produktbeschreibung

This book is devoted to the existence and uniqueness results for various classes of problems with periodic conditions. All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.

Prof. Mouffak Benchohra is a Full Professor at the department of mathematics, Djillali Liabes University of Sidi Bel Abbes since October 1994. Benchohra received the master's degree in Nonlinear Analysis from Tlemcen University, Algeria, 1994 and Ph.D. degree in Mathematics from Djillali Liabes University, Sidi Bel Abbes, Algeria. His research fields include fractional differential equations, evolution equations and inclusions, control theory and applications, etc. Benchohra has published more than 500 papers, and five monographs. He is a Highly Cited Researcher in Mathematics from Thompson Reuters (2014) and Clarivate Analytics (2017-2018). Benchohra has also occupied the position of head of department of mathematics at Djillali Liabes University, Sidi Bel Abbes. He is in the Editorial Board of 10 international journals.

Dr. Soufyane Bouriah is an Associate Professor at the faculty of Technology, Hassiba Benbouali university of Chlef. Bouriah received the master's degree in functional analysis and differential equations from Djillali Liabès University, Algeria, and the doctorate's degree in mathematical analysis and applications from Djillali Liabes University of Sidi Bel Abbes, Algeria. His research fields include fractional differential and applications.

Dr. Soufyane Bouriah is an Associate Professor at the faculty of Technology, Hassiba Benbouali university of Chlef. Bouriah received the master's degree in functional analysis and differential equations from Djillali Liabès University, Algeria, and the doctorate's degree in mathematical analysis and applications from Djillali Liabes University of Sidi Bel Abbes, Algeria. His research fields include fractional differential and applications.

Dr. Abdelkrim Salim is an Associate Professor at the faculty of Technology, Hassiba Benbouali university of Chlef since 2022. Salim received the master's degree in functional analysis and differential equations from Djillali Liabès University, Algeria, 2016, and the doctorate's degree in mathematical analysis and applications from Djillali Liabes University of Sidi Bel Abbes, Algeria, 2021. His research fields include fractional differential equations and inclusions, control theory and applications, etc.

Prof. Yong Zhou is a Full Professor at School of Mathematics and Computational Science, Xiangtan University since 2000. He is also a Distinguished Guest Professor at Macau University of Science and Technology since 2018. His research fields include fractional differential equations, functional differential equations, evolution equations and inclusions, control theory. Zhou has published seven monographs in Springer, Elsevier, De Gruyter, World Scientific and Science Press respectively, and more than three hundred research papers in international journals such as Mathematische Annalen, Journal of Functional Analysis, Inverse problems, Nonlinearity, Proceedings of the Royal Society of Edinburgh A, International Journal of Bifurcation and Chaos, Bulletin des Sciences Mathematiques, Comptes rendus Mathematique, Zeitschrift fur Angewandte Mathematik und Physik, Discrete and Continuous Dynamical System, etc. He has been uninterruptedly on the list of Highly Cited Researchers since 2014. Zhou has undertaken five projects from National Natural Science Foundation of China, and two projects of the Macau Science and Technology Development Fund of China. He won the second prize of Chinese University Natural Science Award in 2000, and the second prize of Natural Science Award of Hunan Province in 2017 and 2021. Zhou was the Editor-in-Chief of International Journal of Dynamical Systems and Differential Equations from 2007 to 2011. In addition, he had worked as an Associate Editor for IEEE Transactions on Fuzzy Systems, Journal of Applied Mathematics & Computing, Mathematical Inequalities & Applications, and an Editorial Board Member of Fractional Calculus and Applied Analysis.

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Produktdetails

• Verlag: Walter de Gruyter GmbH & Co.KG
• Seitenzahl: 336
• Erscheinungstermin: 20. November 2023
• Englisch
• ISBN-13: 9783111334387
• Artikelnr.: 69718574

Autorenporträt

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.

Inhaltsangabe

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.