Functional and Impulsive Differential Equations of Fractional Order

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A01=Gani Stamov
A01=Ivanka Stamova
Age Group_Uncategorized
Age Group_Uncategorized
Asymptotically Stable
Author_Gani Stamov
Author_Ivanka Stamova
automatic-update
BAM Neural Network
caputo
Caputo Fractional Derivatives
Caputo Fractional Order
Category1=Non-Fiction
Category=PBKJ
COP=United States
Delivery_Delivery within 10-20 working days
derivatives
dynamical systems analysis
eq_isMigrated=2
eq_nobargain
Fractional Derivatives
Fractional Differential Systems
Fractional Order
Fractional Order Dynamical Systems
Fractional Order Systems
Functional Differential Systems
functions
Globally Asymptotically Stable
Gronwall Bellman Inequality
Impulsive Differential Equations
Impulsive Systems
Integer Order Systems
Integral Manifold
Language_English
liouville
Lipschitz Stability
lyapunov
Lyapunov Functions
Lyapunov Krasovskii Functional Method
mathematical biology applications
mittag-leffler
neural network modeling
Ordinary Differential Equation
PA=Available
periodic solution methods
Periodic Solutions
Price_€100 and above
PS=Active
qualitative analysis of fractional equations
riemann
Riemann Liouville Fractional Derivatives
sense
softlaunch
Solow Type Models
stability theory
systems
uncertain systems control
Uniformly Stable
vector
Vector Lyapunov Functions

Product details

  • ISBN 9781498764834
  • Weight: 522g
  • Dimensions: 156 x 234mm
  • Publication Date: 20 Oct 2016
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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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.

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.

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