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Fractional calculus
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===Groundwater flow problem=== In 2013β2014 Atangana et al. described some groundwater flow problems using the concept of a derivative with fractional order.<ref>{{cite journal |last1=Atangana |first1=Abdon |last2=Bildik |first2=Necdet |title=The Use of Fractional Order Derivative to Predict the Groundwater Flow |year=2013 |journal=Mathematical Problems in Engineering |volume=2013 |pages=1β9 |doi=10.1155/2013/543026 |doi-access=free }}</ref><ref>{{cite journal |last1=Atangana |first1=Abdon |last2=Vermeulen |first2=P. D. |title=Analytical Solutions of a Space-Time Fractional Derivative of Groundwater Flow Equation |year=2014 |journal=Abstract and Applied Analysis |volume=2014 |pages=1β11 |doi=10.1155/2014/381753 |doi-access=free }}</ref> In these works, the classical [[Darcy law]] is generalized by regarding the water flow as a function of a non-integer order derivative of the piezometric head. This generalized law and the law of conservation of mass are then used to derive a new equation for groundwater flow.
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