Modeling natural phenomenon is quite complex.
Particularly, it has been shown that fractional calculus is a powerful tool for modeling various natural phenomena, because of the non-local nature and long-range history dependence of fractional differential operators.
As it is known, often the modeling of natural phenomena states using mathematical tools (mathematical arithmetic, mathematical logics and etc).
7. Of course, another possible response to such a question is to dismiss it, perhaps with the observation that mathematical models of natural phenomena evolve, more or less organically, to fit the facts, and require no a priori justification.
Fractional mathematical models describing natural phenomena, like shallow water waves and ion acoustic waves in plasma and vibration of large membranes, as well as personal and interpersonal realities, like smoking, romantic relationships and marriages, can be found in [13, 14] and [15, 16], respectively.
This latter aspect will be of crucial importance for next generation of biological tools that will be largely designed by bioinformatics scientists, who are likely to be more interested in the accurate modeling of natural phenomena rather than on the synchronisation protocols required to build efficient tools on multicore platforms.
Our motivation for considering diffusion fields is based on the fact that diffusion fields provide a suitable model for numerous natural phenomena in biology, physics and engineering: from the release of pollutants [8], to the modeling of biochemical leakages and nuclear wastes[9].
Another issue in modelling a natural phenomenon is that the signals might not be perfectly sparse but can only be modelled as the orthogonal sum of low-rank and sparse components.
At that time the principle of parsimony in describing and modeling a natural phenomenon was well reasoned.
Integrodifferential equations arise in the mathematical modeling of several natural phenomena and various investigations led to the exploration of their different aspects.
