This accessible monograph is devoted to a rapidly developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

Up to now we have introduced a fractional derivative definition for special simple function
classes. In the following section we will present common generalizations for arbitrary …

Fractional evolution inclusions are an important form of differential inclusions within
nonlinear mathematical analysis. They are generalizations of the much more widely …

This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …

In this paper we use the conformable fractional derivative and integral to discuss the
fractional Newtonian mechanics. The fractional version of the calculus of variations is …

In this study, a harmonic oscillator with position-dependent mass is investigated. Firstly, as
an introduction, we give a full description of the system by constructing its classical …

In this brief review, we present the results of the fractional differential approach in cosmology
in the context of the exact models of cosmological accelerated expansion obtained by …

The aim of the paper is to present the fundamental definitions connected to fractional
differentiation and to present an overview of the CRONE approach in the fields of system …

In this study, the intelligent computational strength of neural networks (NNs) based on the
backpropagated Levenberg‐Marquardt (BLM) algorithm is utilized to investigate the …