Book
Mouffak Benchohra, Abdelkrim Salim, Yong Zhou
De Gruyter, 1st ed., De Gruyter, Berlin, 2024
De Gruyter, 1st ed., De Gruyter, Berlin, 2024
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APA
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Benchohra, M., Salim, A., & Zhou, Y. (2024). Integro-Differential Equations: Analysis, Stability and Controllability. (D. Gruyter, Ed.) (1st ed.). Berlin: De Gruyter.
Chicago/Turabian
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Benchohra, Mouffak, Abdelkrim Salim, and Yong Zhou. Integro-Differential Equations: Analysis, Stability and Controllability. Edited by De Gruyter. 1st ed. Berlin: De Gruyter, 2024.
MLA
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Benchohra, Mouffak, et al. Integro-Differential Equations: Analysis, Stability and Controllability. Edited by De Gruyter, 1st ed., De Gruyter, 2024.
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@book{mouffak2024a,
title = {Integro-Differential Equations: Analysis, Stability and Controllability},
year = {2024},
address = {Berlin},
edition = {1},
publisher = {De Gruyter},
author = {Benchohra, Mouffak and Salim, Abdelkrim and Zhou, Yong},
editor = {Gruyter, De}
}
This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay. The main objective is to investigate the existence of solutions and explore their approximate controllability, complete controllability, and attractivity. The study involves boundary conditions, nonlocal conditions, and impulsive conditions.
The analysis presented in this book goes beyond traditional solutions and encompasses the study of solutions that are asymptotically almost automorphic and integro-differential equations with impulsive effects in both bounded and unbounded domains. The book also contains applications to nuclear physics, elementary particle physics, chemical engineering, and economics.
This book is intended for researchers and professionals in the field of mathematics, physics and industrial engineering, as well as advanced graduate students.
The analysis presented in this book goes beyond traditional solutions and encompasses the study of solutions that are asymptotically almost automorphic and integro-differential equations with impulsive effects in both bounded and unbounded domains. The book also contains applications to nuclear physics, elementary particle physics, chemical engineering, and economics.
This book is intended for researchers and professionals in the field of mathematics, physics and industrial engineering, as well as advanced graduate students.
- The book has novel results for integro-differential equations.
- Studies impulsive equations, equations with delay and coupled systems.
- Involves approximate and complete controllability, stability, continuous dependence, and attractivity.
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About the Author
Dr. Mouffak Benchohra is a Full Professor in the Department of Mathematics, Djillali Liabes University of Sidi Bel Abbes. Dr. Benchohra received his MSc in Nonlinear Analysis from Tlemcen University, Algeria, and his PhD 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, and other topics in applied mathematics. Dr. Benchohra is the author of Topics in Fractional Differential Equations, Springer; Advanced Functional Evolution Equations and Inclusions, Springer; Fractional Differential Equations and Inclusions: Classical and Advanced Topics, World Scientific; and Implicit Fractional Differential and Integral Equations, DeGruyter.
He is a Highly Cited Researcher in Mathematics from Thompson Reuters (2014) and Clarivate Analytics (2017 and 2018). He is also among the top 2% researchers in the world (2020, 2021, 2022) released by Stanford University. Dr. Benchohra has also been the chair of the Department of Mathematics at Djillali Liabes University, Sidi Bel Abbes, and he serves on the Editorial Board of 10 international journals.
He is a Highly Cited Researcher in Mathematics from Thompson Reuters (2014) and Clarivate Analytics (2017 and 2018). He is also among the top 2% researchers in the world (2020, 2021, 2022) released by Stanford University. Dr. Benchohra has also been the chair of the Department of Mathematics at Djillali Liabes University, Sidi Bel Abbes, and he serves on the Editorial Board of 10 international journals.
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.