A new collection of real world applications of fractional calculus in science and engineering
Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …
discussed and applied to real world applications in many branches of science and …
Numerical computation of a fractional model of differential-difference equation
In the present article, we apply a numerical scheme, namely, homotopy analysis Sumudu
transform algorithm, to derive the analytical and numerical solutions of a nonlinear fractional …
transform algorithm, to derive the analytical and numerical solutions of a nonlinear fractional …
Energy-based damage localization under ambient vibration and non-stationary signals by ensemble empirical mode decomposition and Mahalanobis-squared …
Damage localization of damaged structures is an important issue in structural health
monitoring. In data-based methods based on statistical pattern recognition, it is necessary to …
monitoring. In data-based methods based on statistical pattern recognition, it is necessary to …
Synthesis of fractional-order PI controllers and fractional-order filters for industrial electrical drives
This paper introduces an electrical drives control architecture combining a fractional-order
controller and a setpoint pre-filter. The former is based on a fractional-order proportional …
controller and a setpoint pre-filter. The former is based on a fractional-order proportional …
Fractional dynamics and its applications
The calculus of fractional order started more than three centuries ago. It was firstly
mentioned by Leibniz, and represents a generalization of the classical integerorder …
mentioned by Leibniz, and represents a generalization of the classical integerorder …
Stabilization of a class of fractional-order chaotic systems using a non-smooth control methodology
MP Aghababa - Nonlinear Dynamics, 2017 - Springer
This paper is devoted to demonstrate how a class of fractional-order chaotic systems can be
controlled in a given finite time using just a single control input. First a novel fractional …
controlled in a given finite time using just a single control input. First a novel fractional …
Estimates for -adic fractional integral operators and their commutators on -adic mixed central Morrey spaces and generalized mixed Morrey spaces
In this paper, we define the\(p\)-adic mixed Morrey type spaces and study the boundedness
of\(p\)-adic fractional integral operators and their commutators on these spaces. More …
of\(p\)-adic fractional integral operators and their commutators on these spaces. More …
On PID Controllers for a Complex-Order Fractional Model of an Automotive Injection System
Recent studies have shown that complex-order fractional operators allow for compact
modeling with simpler structures and less parameters than models based on integer-order …
modeling with simpler structures and less parameters than models based on integer-order …
The “Universal” Set of Quantitative Parameters for Reading of the Trendless Sequences
In this paper, we want to demonstrate a set of “universal” parameters that help to read
quantitatively any trendless sequence (TLS). This set will be very useful in order to select the …
quantitatively any trendless sequence (TLS). This set will be very useful in order to select the …
Reduced fractal model for quantitative analysis of averaged micromotions in mesoscale: Characterization of blow-like signals
It has been shown that many micromotions in the mesoscale region are averaged in
accordance with their self-similar (geometrical/dynamical) structure. This distinctive feature …
accordance with their self-similar (geometrical/dynamical) structure. This distinctive feature …