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Fractional derivatives and integrals are used for a better description of material properties.
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There have appeared lots of works in which fractional derivatives are used for a better description of considered material properties; mathematical modeling based on enhanced rheological models naturally leads to differential equations of fractional order and to the necessity of the formulation of initial conditions to such equations.
A better description of lower mantle materials with laboratory experiments reaching the appropriate high pressure range as well as time-consuming ab initio quantum chemistry computations became possible.
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CEO of Professional Science Editing for Scientists @ prosciediting.com