Fractional differential equations are generalizations of ordinary differential equations to an arbitrary (noninteger) order. Fractional differential equations have been of great interest recently. They are caused both by the intensive development of the theory of fractional differential equations itself and by the applications of such constructions in various sciences such as physics, mechanics, chemistry, and engineering. Moreover, it is well known that discrete analogues of differential equations can be very useful in applications. Furthermore, the study in dynamic equations on time scales is rapidly growing.

The theory of dynamic equations not only unifies the theories of differential equations and difference equations, but also extends these classical cases to cases "in between", for example, to the so-called q-difference equations which have important applications in quantum theory and can be applied on different types of time scales. Further, the study in this theory has led to several important applications, for example, in the study of insect population models, neural networks, heat transfer, and epidemic models. Also, it was expected to establish a general definition of fractional derivative on an arbitrary time scale and unify the theories of fractional differential equations and discrete fractional equations finally.

Thus, we invite authors to contribute original research articles as well as review articles.

Potential topics include, but are not limited to:

• Recent developments in fractional differential/difference equations
• Existence and uniqueness results for fractional differential/difference equations
• Qualitative properties for solutions of fractional differential/difference equations
• Modeling with discrete or continuous fractional derivatives
• Recent developments in fractional differential/difference equations
• Latest technologies and testing for fractional derivative on an arbitrary time scale
• Qualitative analysis for solutions of dynamic equations on time scales
• Dynamic and integral inequalities and their applications