For example, ILC for fractional differential systems [4 6], ILC for impulsive differential systems [7, 8], research on the robustness of ILC [9 11], and so on.
For example, for commensurate fractional-order systems, the Matignon stability theorem is the most well-known one [4].
Some properties and examples for this fractional derivative operator was given.
For example, fractional activation for a substrate that is active only when phosphorylated is equivalent to the ratio of phosphorylated to total protein.
For applications and examples of fractional order systems, we refer the reader to the papers in [39 47].
For example, fractional calculus has been applied to model the nonlinear oscillations of earthquake [2], fluid-dynamic traffic [3], continuum and statistical mechanics [4], signal processing [5], control theory [6] and dynamics of interfaces between nanoparticles and subtracts [7].
For example, fractional differential equations are often applicable in engineering, physics, chemistry, and biology.
For example, fractional diffusion equations are abstract partial differential equations that involve fractional derivatives in space and time.
For example, fractional derivatives are used in modeling mechanical and electrical properties of real materials, in the description of properties of gases, liquids and rocks, and in many other fields (see, for example, [6, 7]).
Other studies on white matter maturation used predominantly univariate approaches, trying to classify the bundles based on changes in a single modality: for example, fractional anisotropy (Imperati et al. 2011), quantitative qT1 (Steen et al. 1997) or qT2 (Engelbrecht et al. 1998) relaxation times, etc.
