Some Applications of Fractional Calculus in Engineering
By J. Machado, M. Silva, Ramiro S. Barbosa, Isabel S. Jesus, C. Reis, Maria da Graça Marcos, Alexandra M. S. F. Galhano. 2010
355 citations recorded by the source corpus.
Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses FC in the study of system dynamics and control. In this perspective, this paper investigates the use of FC in the fields of controller tuning, legged robots, redundant robots, heat diffusion, and digital circuit synthesis.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/d275e72ec2b7445c4343d9da65f415fb7b069705
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In Control and Systems Engineering
Citations in the corpus
- The Extended Trial Equation Method for Some Time Fractional Differential Equations (2013, background): “For example, the use of fractional derivative is analyzed in the fields of controller tuning, redundant robots, legged robots, digital circuit synthesis, and heat diffusion [1].”
- The Variable-Order Fractional Calculus of Variations (2018, background): “36 3 Expansion formulas for fractional derivatives (Džrbašjan and Nersesjan, 1968) and (Rabotnov, 1969), has found many applications and seems to be more suitable to model physical phenomena (Dalir and Bashour, 2010; Diethelm, 2004; Machado et al., 2010; Murio and Mej́ıa, 2008; Singh, Saxena and Kum”
- Modeling some real phenomena by fractional differential equations (2015, neutral): “For example, we can find applications of fractional calculus in mechanics [4], engineering [5], viscoelasticity [6], dynamical systems [7], etc.”