Received: 10 April 2017 / Revised: 10 April 2017 / Accepted: 10 April 2017 / Published: 12 April 2017

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**Abstract**

There has been increasing research activity in recent years concerning the properties and the applications of nonlinear partial differential equations that are closely related to nonstandard entropic functionals, such as the Tsallis and Renyi entropies.[...]
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(This article belongs to the Special Issue Entropic Aspects of Nonlinear Partial Differential Equations: Classical and Quantum Mechanical Perspectives)