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.

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