Dynamical models of happiness with fractional order

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Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations (2018, unknown): “(Urs30, Theorem 4) Considering a Banach space E with Υ1, Υ2 ∶ E → E be 2 operators such that {||Υ1(p, q) − Υ1(p, q∗)||PC ≤ 1||p − p∗||PC + 2||q − q∗||PC, ||Υ2(p, q) − Υ2(p, q∗)||PC ≤ 3||p − p∗||PC + 4||q − q∗||PC, for all (p, q), (p∗, q∗) ∈ E, (5) and if the matrix Q = [ 1 2 3 4 ]”
Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces (2013, background): “Also, it is worth pointing out that a completely different and very novel applicable field is the area of mathematical psychology where fractional-order systems may be used to model the behaviour of human beings ([6], [15], [36]), more precisely, using fractional operators, a model of memory-depende”
Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions☆ (2011, background): “In recent years, even fractional-order models of happiness [34] and love [17] have been developed, and they are claimed to give a better representation than the integer-order dynamical systems approach.”