Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales (Synthesis Lectures on Mathematics & Statistics) - Hardcover

Wang, Chao; Agarwal, Ravi P.

Hardcover

ISBN 10: 3031112350 ISBN 13: 9783031112355

Publisher: Springer, 2022

Synopsis

This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory. The authors introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Several applications are studied; in particular, a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems) is presented. The results are not only effective on classical fuzzy dynamic systems, including their continuous and discrete situations, but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains. In an effort to achieve more accurate analysis in real world applications, the authors propose a number of uncertain factors in the theory. As such, fuzzy dynamical models, interval-valued functions, differential equations, fuzzy-valued differential equations, and their applications to dynamic equations on time scales are considered.

About this title

About the Author

Chao Wang, Ph.D., is a Professor in the Department of Mathematics at Yunnan Univer-

sity. Dr. Wang has authored the books Theory of Translation Closedness for Time Scales and

Combined Measure and Shift Invariance Theory of Time Scales and Applications, both published

by Springer. His research focuses on the fields of nonlinear dynamic systems, control

theory, fuzzy dynamic equations, fractional differential equations, bifurcation theory,

nonlinear analysis, and numerical modeling.

Ravi P. Agarwal, Ph.D., is a Professor in the Department of Mathematics at the Texas A&M University-Kingsville. He completed his Ph.D. at the Indian Institute of Technology, Madras, India, in 1973.  Dr. Agarwal has authored or co-authored 50 books and 1,750 research articles.  His research interests include nonlinear analysis, differential and difference equations, fixed point theory, and generalinequalities.

From the Back Cover

This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory. The authors introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Several applications are studied; in particular, a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems) is presented. The results are not only effective on classical fuzzy dynamic systems, including their continuous and discrete situations, but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains. In an effort to achieve more accurate analysis in real world applications, the authors propose a number of uncertain factors in the theory. As such, fuzzy dynamical models, interval-valued functions, differential equations, fuzzy-valued differential equations, and their applications to dynamic equations on time scales are considered. 

In addition, this book:

• Introduces readers to the almost periodic theory of fuzzy dynamical equations on time scales
• Presents comprehensive real-world applications in industrial engineering, systems science, and cybernetics
• Includes cutting-edge research results and a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems)

Edition details

• Publisher: Springer
• Publication date: 2022
• Language: English
• ISBN 10: 3031112350
• ISBN 13: 9783031112355
• Binding: Hardcover
• Edition number: 1
• Number of pages: 197