Applications of fractional operators in robotics: a review

S Chávez-Vázquez, JF Gómez-Aguilar… - Journal of Intelligent & …, 2022 - Springer
This manuscript presents a bibliographic review on fractional-order control laws applied to
robotics manipulators, robot vehicles, man-robot systems, as well as biologically inspired …

A review on fractional-order modelling and control of robotic manipulators

K Bingi, B Rajanarayan Prusty, A Pal Singh - Fractal and Fractional, 2023 - mdpi.com
Robot manipulators are widely used in many fields and play a vital role in the assembly,
maintenance, and servicing of future complex in-orbit infrastructures. They are also helpful in …

Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties

A Atangana - Physica A: statistical mechanics and its applications, 2018 - Elsevier
We presented an analysis of evolutions equations generated by three fractional derivatives
namely the Riemann–Liouville, Caputo–Fabrizio and the Atangana–Baleanu fractional …

Numerical and mathematical analysis of induction motor by means of AB–fractal–fractional differentiation actuated by drilling system

KA Abro, A Atangana - Numerical Methods for Partial …, 2022 - Wiley Online Library
The quality of electric induction motors for its high number of applications can be compared
with traditional motor for the check of accuracy of physical and psychological discomforts. A …

Fractional order controllers increase the robustness of closed-loop deep brain stimulation systems

A Coronel-Escamilla, JF Gomez-Aguilar… - Chaos, Solitons & …, 2020 - Elsevier
We studied the effects of using fractional order proportional, integral, and derivative (PID)
controllers in a closed-loop mathematical model of deep brain stimulation. The objective of …

[HTML][HTML] Enhancement of heat transfer rate of solar energy via rotating Jeffrey nanofluids using Caputo–Fabrizio fractional operator: an application to solar energy

KA Abro, AA Memon, SH Abro, I Khan, I Tlili - Energy Reports, 2019 - Elsevier
The significance of solar energy has recently diverted the attention of researchers; this is
due to the experimental or the numerical analyises of solar energy and lack of fractional …

[HTML][HTML] Synchronization of fractional-order complex dynamical network with random coupling delay, actuator faults and saturation

P Selvaraj, R Sakthivel, OM Kwon - Nonlinear Dynamics, 2018 - Springer
This paper examines the synchronization problem of fractional-order complex dynamical
networks (FCDNs) against input saturation and time-varying coupling by using a fault …

On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function

P Agarwal, M Chand, D Baleanu, D O'Regan… - Advances in Difference …, 2018 - Springer
The aim of the present paper is to develop a new generalized form of the fractional kinetic
equation involving a generalized k-Mittag-Leffler function E k, ζ, η γ, ρ (⋅) E^γ,ρ_k,ζ,η(⋅) …

A numerical study by using the Chebyshev collocation method for a problem of biological invasion: Fractional Fisher equation

MM Khader, KM Saad - International Journal of Biomathematics, 2018 - World Scientific
In this paper, an efficient numerical method is introduced for solving the fractional (Caputo
sense) Fisher equation. We use the spectral collocation method which is based upon …

Functional shape effects of nanoparticles on nanofluid suspended in ethylene glycol through Mittage-Leffler approach

IQ Memon, KA Abro, MA Solangi, AA Shaikh - Physica Scripta, 2020 - iopscience.iop.org
It is fundamental fact that nanoparticles are strong function of their shapes and sizes; this is
because nanoparticles certainly play an adhesive and a significant role in fluid …