Due to high computational load of ideal realization of fractional order elements, fractional
order transfer functions are commonly implemented via integer-order, limited-band …

The main objective of this research is to investigate a new fractional mathematical model
involving a nonsingular derivative operator to discuss the clinical implications of diabetes …

Fractional differential equations depict nature sufficiently in light of the symmetry properties
which describe biological and physical processes. This article is concerned with the …

Solving differential equations of fractional (ie, non-integer) order in an accurate, reliable and
efficient way is much more difficult than in the standard integer-order case; moreover, the …

The computation of the Mittag-Leffler (ML) function with matrix arguments, and some
applications in fractional calculus, are discussed. In general the evaluation of a scalar …

Since certain species of domestic poultry and poultry are the main food source in many
countries, the outbreak of avian influenza, such as H7N9, is a serious threat to the health …

Fractional calculus is allowing integrals and derivatives of any positive order (the term
fractional is kept only for historical reasons). It can be considered a branch of mathematical …

We present a new mathematical model to analyze the dynamics of the Zika virus (ZV)
disease with the mutant under the real confirmed cases in Colombia. We give the …

In this paper, we consider two accurate iterative methods for solving fractional differential
equations with power law and Mittag–Leffler kernel. We focused our attention on the stage …

Many situations, as for example within the context of Fractional Calculus theory, require
computing the Mittag–Leffler (ML) function with matrix arguments. In this paper, we collect …