Integro-Differential Equations: Analysis, Stability and Controllability (Fractional Calculus in Applied Sciences and Engineering, 13)

Integro-Differential Equations: Analysis, Stability and Controllability (Fractional Calculus in Applied Sciences and Engineering, 13)
by: Mouffak Benchohra (Author),Abdelkrim Salim(Author),Yong Zhou(Author)&0more
Publisher: De Gruyter
Edition: 1st
Publication Date: 2024/9/2
Language: English
Print Length: 327 pages
ISBN-10: 3111437795
ISBN-13: 9783111437798
Book Description
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.
About the Author
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. Read more