In the last decades fractional calculus (FC) became an area of intensive research and development. This paper goes back recalls important pioneers that started to apply FC scientific engineering problems during nineteenth twentieth centuries. Those we present are, in alphabetical order: Niels Abel, Kenneth Robert Cole, Andrew Gemant, Andrey N. Gerasimov, Oliver Heaviside, Paul Lévy, Rashid Sh. Nigmatullin, Yuri Rabotnov, George Scott Blair.

This is a tutorial study to introduce fractional control reader with background in theory. Fractional controllers are those making use of fractional-order derivatives and integrals, have been receiving increased attention over the last few years because robust performance (in face plant gain variations even uncertainties general) they can achieve. The covers fundamentals theory integrals arbitrary real or complex orders, transfer functions their approximations, identification function models...

In the aviation sector, human factors are primary cause of safety incidents. Intelligent prediction systems, which capable evaluating state and managing risk, have been developed over years to identify prevent factors. However, lack large useful labelled data has often a drawback development these systems. This study presents methodology classify factor categories from incident reports. For feature extraction, text pre-processing Natural Language Processing (NLP) pipeline is developed....

In this paper, we introduce a unified fractional derivative, defined by two parameters (order and asymmetry). From this, all the interesting derivatives can be obtained. We study one-sided show that most known are particular cases. consider also some myths of Fractional Calculus false derivatives. The results expected to contribute limit appearance differ from existing ones just because they on distinct domains, prevent ambiguous use concept derivative.

The use of machine learning techniques to identify contributing factors in air incidents has grown significantly, helping and prevent accidents improve safety. In this paper, classifier models such as LS, KNN, Random Forest, Extra Trees, XGBoost, which have proven effective classification tasks, are used analyze incident reports parsed with natural language processing (NLP) techniques, uncover hidden patterns future incidents. Metrics precision, recall, F1-score accuracy assess the degree...

Oscillating water columns (OWCs) are widely regarded as the simplest and most reliable type of wave energy converter. An economically viable OWC power plant requires maximizing performance take-off system, composed an air turbine coupled to electrical generator. Besides, plant's inherent nonlinearities modeling uncertainties must be dealt with. One solution is use fuzzy controllers since they capture both which can largely contribute improving overall efficiency. This paper shows how inverse...

Cancer is a complex disease, responsible for significant portion of global deaths. The increasing prioritisation know-why over know-how approaches in biological research has favoured the rising use both white- and black-box mathematical techniques cancer modelling, seeking to better grasp multi-scale mechanistic workings its phenomena (such as tumour-immune interactions, drug resistance, tumour growth diffusion, etc.). In light this wide-ranging mathematics unique memory non-local properties...

This paper proposes a model capable of predicting fatal occurrences in aviation events such as accidents and incidents, using inputs the human factors that contributed to each incident, together with information about flight. is important because demands have increased over years; while safety standards are very rigorous, managing risk preventing failures due factors, thereby further increasing safety, requires models potential or risky situations. The database for this paper’s was provided...

In the area of aviation safety, importance human factors is indisputable. This research endeavors to assess in predicting fatalities during mishaps. Utilizing reports from Aviation Safety Network Database, encompassing 1105 accidents and incidents spanning 2007 2016, neural networks were trained forecast probability fatalities. Our findings underscore that involved, by themselves, can yield strong predictions. As a term comparison, other variables (type occurrence, flight phase, aircraft...

Fractional order derivatives may be implemented in the time domain for control purposes many ways. An exhaustive study of performance 28 different alternatives is presented and compared with discretised Crone controllers. Placement zeros poles, impulse step responses frequency are addressed. No formula clearly better than all others situations, but it expected that this survey will allow choosing best possibility each particular case.

Abstract In this paper, the classic Levy identification method is reviewed and reformulated using a complex representation. This new formulation addresses well known bias of at low frequencies. The generic, coping with both integer order fractional transfer functions. A algorithm based on stacked matrix its pseudoinverse proposed to accommodate data over wide range Several simulation results are presented, together real system identification. Archimedes Wave Swing, prototype device convert...

Abstract This paper addresses variable order fractional controllers. Four situations where controllers may be used to cope with time‐varying plants are as examples. In all cases a constant phase margin is sought, thus resulting in overshoot step responses, which otherwise unattainable. The first two examples concern generation Crone for gains. other logarithmic controller plant poles and gain. Numerical simulation results given