Given the increasing number of proposals and definitions of operators in the scope of
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …

Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …

New variable-order fractional chaotic systems are proposed in this paper. A concept of short
memory is introduced where the initial point in the Caputo derivative is varied. The fractional …

Fractional derivatives hold memory effects, and they are extensively used in various real-
world applications. However, they also need large storage space and cause poor efficiency …

Several approaches to the formulation of a fractional theory of calculus of “variable order”
have appeared in the literature over the years. Unfortunately, most of these proposals lack a …

This article presents a fractional-order mathematical model of the biological phenomena that
occur in cancer therapy. The formulation generalizes the one proposed by Soto-Ortiza and …

In this study, a new optimization algorithm, called King, is introduced for solving variable
order fractional optimal control problems (VO-FOCPs). The variable order fractional …

Cancer is a complex disease, responsible for a significant portion of global deaths. The
increasing prioritisation of know-why over know-how approaches in biological research has …

This paper presents the continuous-time fractional linear systems and their main properties.
Two particular classes of models are introduced: the fractional autoregressive-moving …

This paper presents a new method for computationally effective implementation of a discrete-
time fractional-order proportional–integral–derivative (FOPID) controller. The proposed …