Yong Z. Theory of Fractional Evolution Equations 2022

Textbook in PDF format

Fractional evolution equations provide a unifying framework to investigate wellposedness of complex systems with fractional order derivatives. This monograph presents the existence, attractivity, stability, periodic solutions and control theory for time fractional evolution equations. The book contains an up-to-date and comprehensive stuff on the topic.
Gives a systematic presentation of the theory of fractional partial evolution equations and its research methods.
Fills the vacuum in the literature regarding fractional evolution differential equations.
Preface
Introduction
Preliminaries
Fractional evolution equations of order α ∈ (0, 1)
Fractional control systems of order α ∈ (0, 1)
Fractional evolution equations and inclusions of order α ∈ (1, 2)
Fractional neutral evolution equations and inclusions
Fractional evolution equations on whole real axis
Discrete time fractional evolution equations
Bibliography
Index