Machado, J. A. Tenreiro2014-02-072014-02-0720131007-5704http://hdl.handle.net/10400.22/3804Fractional calculus generalizes integer order derivatives and integrals. Memristor systems generalize the notion of electrical elements. Both concepts were shown to model important classes of phenomena. This paper goes a step further by embedding both tools in a generalization considering complex-order objects. Two complex operators leading to real-valued results are proposed. The proposed class of models generate a broad universe of elements. Several combinations of values are tested and the corresponding dynamical behavior is analyzed.engFractional calculusMemristorDevice modelingFractional generalization of memristor and higher order elementsjournal article10.1016/j.cnsns.2012.07.014