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The rst and second authors were supported by Portuguese funds through the CIDMA Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia), within project UID/MAT/04106/2013; third author by the ALGORITMI R&D Center and project COMPETE: POCI-01-0145-FEDER-007043 and FCT Fundacao para a Ciencia e a Tecnologia within the Project Scope: UID/CEC/00319/2013.

A fractional Malthusian growth model with variable order using an optimization approach