Deterministic and stochastic ordinary and partial differential equations arise naturally in the mathematical modeling of phenomena spanning disciplines in the social and natural sciences, engineering, and epidemiology. Much attention has been given to control, stability, and existence theory of dynamical systems in the literature over the past decades. However, the extension of this work to fractional deterministic and stochastic differential equations has only recently begun to appear in the literature.

We invite authors to contribute original research articles as well as review articles related to all aspects of abstract deterministic and stochastic (fractional) equations in finite or infinite dimensions. Potential topics include, but are not limited to:

• Existence and stability issues for abstract infinite-dimensional deterministic and stochastic evolution equations with infinite delay, unbounded delay, or state-dependent delay
• Qualitative properties and controllability results for classes of equations of the type mentioned above
• Numerical schemes and approximation results for classes of equations (with robust control) of the type mentioned above
• (Backward) stochastic differential (evolution) equations and their optimal control
• Stochastic differential equations driven by either a fractional Brownian motion or Levy process

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/csqt/ according to the following timetable: