Functional and Impulsive Differential Equations of Fractional Order: Qualitative Analysis and Applications

ISBN-13: 9781498764834 / Angielski / Twarda / 2016 / 276 str.

Ivanka Stamova; Gani Stamov

Opis

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.

O autorze

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.