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This paper addresses the theory of the vector calculus with respect to monotone functions for the first time. The Green-like theorem, Stokes-like theorem, Gauss-like theorem, and Green-like identities are obtained with the aid of the notation of Gibbs. The results are used to model the heat-conduction problems arising in the complex phenomenon.
PAPER REVISED: 2020-01-20
PAPER ACCEPTED: 2020-01-25
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THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 6, PAGES [3949 - 3959]
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