Bücher online kaufen
Functional and Impulsive Differential Equations of Fractional Order
-0 %
Qualitative Analysis and Applications
Besorgungstitel - wird vorgemerkt | Lieferzeit: Besorgungstitel - Lieferbar innerhalb von 10 Werktagen I
Artikel-Nr:
9780367782726
Veröffentl:
2021
Erscheinungsdatum:
31.03.2021
Seiten:
276
Autor:
Ivanka Stamova
Gewicht:
395 g
Format:
234x156x15 mm
Sprache:
Englisch
Beschreibung:
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.
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 demon
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.