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Further, one can obtain similar results by using another type of calculus instead of non-Newtonian calculus.
This type of calculus has an important impact in describing the dynamics of complex phenomena [1 4, 17].
The methods and techniques of this type of calculus are continuously generalized and improved especially during the last few decades.
Interested reader can read those references in conjunction with the present paper to have a detailed information of this significantly useful type of calculus.
One of the main reasons of the fast development of this type of calculus is that it incorporates, as a particular case, the classical calculus.
From the data analysis point of view we suppose that this new type of calculus will provide better understanding of the complexity of the dynamics of the phenomena from porous media.
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Fractional calculus is one of the most novel types of calculus having a broad range of applications in many different scientific and engineering disciplines.
One type of quantum calculus is the Hahn quantum calculus.
In this paper, we study the Hahn quantum calculus that is one type of quantum calculus.
The core ideas of this type of nonlocal calculus were applied successfully to the so-called discrete fractional calculus (DFC) [6 18].
In this way a new type of fractional calculus was established.
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