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They model some phenomena with hereditary properties.
We discuss the relevance of the SUMIs and their interactions to the ideas of molecular complementarity, composomes (molecular aggregates with hereditary properties based on molecular complementarity), and a prebiotic ecology of co-evolving populations of composomes.
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Fractional functional differential equations are used to describe anomalous diffusion processes with memory or hereditary properties.
As is well known, many materials and processes with memory or hereditary properties and nonclassical phenomena in engineering can be described by fractional calculus [10, 11].
By randomly sampling fish from each of these replicate populations, and including replicate population as a random effect in every analysis, we ensured that the observed differences between the selection regimes reflected hereditary properties associated with the selection regimes.
We start this section with definition of sigma-approximate module amenability, then we consider some hereditary properties of this concept.
Free damped vibrations of two hereditarily elastic oscillators, the hereditary properties of which are described by the Boltzmann-Volterra relationships with the weakly singular Rzhanitsyn kernel taken as the creep kernel (the first model), or as the relaxation kernel (the second model) are considered.
Differential equations with fractional order have recently proved to be valuable tools for the description of hereditary properties of various materials and systems.
Compared with integer-order derivatives, it has a greater advantage in describing the memory and hereditary properties of manifold materials and processes (see [1 3]).
Thus, recently researchers were strongly attracted towards fractional-order systems compared with the integer-order one because of their great advantage of infinite memory and hereditary properties [3, 19 22].
Then we investigate the basic and hereditary properties of them.
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