
Functional and Impulsive Differential Equations of Fractional Order
Qualitative Analysis and Applications
CRC Press
1st Edition
Published on 31. March 2021
Book
Paperback/Softback
276 pages
978-0-367-78272-6 (ISBN)
Description
The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by demonstrating how these techniques can be applied to investigate qualitative properties of the solutions of fractional systems. Since many applications have been included, the demonstrated techniques and models can be used in training students in mathematical modeling and in the study and development of fractional-order models.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 15 mm
Weight
427 gr
ISBN-13
978-0-367-78272-6 (9780367782726)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Ivanka Stamova | Gani Stamov
Functional and Impulsive Differential Equations of Fractional Order
Qualitative Analysis and Applications
E-Book
03/2017
CRC Press
€67.49
Available for download

Ivanka Stamova | Gani Stamov
Functional and Impulsive Differential Equations of Fractional Order
Qualitative Analysis and Applications
E-Book
03/2017
1st Edition
CRC Press
€67.49
Available for download

Ivanka Stamova | Gani Stamov
Functional and Impulsive Differential Equations of Fractional Order
Qualitative Analysis and Applications
Book
10/2016
1st Edition
CRC Press
€186.40
Shipment within 15-20 days
Persons
Ivanka Stamova received her Ph.D. degree in Differential Equations in 1996 and her Dr.Sci. degree in Applied Mathematics in 2009, both from the Higher Accreditation Commission of Bulgaria. She is the author of Stability Analysis of Impulsive Functional Differential Equations (2009) and editor of Lotka-Volterra and Related Systems: Recent Developments in Population Dynamics (2013). She has authored more than 200 papers and serves on the Editorial Boards of several international journals. Her current research interests include qualitative analysis of nonlinear dynamical systems, fractional differential systems, and impulsive control.
Gani T. Stamov received his M.Sc. degree in Mathematics from Plovdiv University, Bulgaria in 1984 and his Ph.D. degree from the Higher Accreditation Commission of Bulgaria in 1999. In 2011, he received his Dr.Sci. degree in Applied Mathematics from the University of Chemical Technology and Metallurgy, Bulgaria. Currently, he works as a Mathematics Professor at the Technical University of Sofia, Bulgaria. His current research interests include qualitative analysis of nonlinear dynamical systems, integral manifolds, and almost periodic solutions. He is the author of Almost Periodic Solutions of Impulsive Differential Equations (2012) and has received numerous research grants.
Gani T. Stamov received his M.Sc. degree in Mathematics from Plovdiv University, Bulgaria in 1984 and his Ph.D. degree from the Higher Accreditation Commission of Bulgaria in 1999. In 2011, he received his Dr.Sci. degree in Applied Mathematics from the University of Chemical Technology and Metallurgy, Bulgaria. Currently, he works as a Mathematics Professor at the Technical University of Sofia, Bulgaria. His current research interests include qualitative analysis of nonlinear dynamical systems, integral manifolds, and almost periodic solutions. He is the author of Almost Periodic Solutions of Impulsive Differential Equations (2012) and has received numerous research grants.
Author
University of Texas at San Antonio, USA
Technical University of Sofia, Bulgaria
Content
Introduction. Preliminary Notes. Qualitative Properties Definitions. Lyapunov Functions and their Fractional Derivatives. Fractional Comparison Lemmas. Stability and Boundedness. Lyapunov Stability. Theorems on Boundedness. Global Stability. Mittag-Leffler Stability. Practical Stability. Lipschitz Stability. Stability of Sets. Stability of Integral Manifolds. Almost Periodicity. Almost Periodic Solutions. Lyapunov Method for Almost Periodic Solutions. Uncertain Fractional Differential Systems. Applications. Fractional Impulsive Neural Networks. Stability and Synchronization. Almost Periodic Solutions. The Uncertain Case. Fractional Impulsive Biological Models. Lasota-Wazewska Models. Lotka-Volterra Models. Kolmogorov-type Models. Fractional Impulsive Models in Economics.