Reprint

Fractional-Order Systems and Its Applications in Engineering

Edited by
April 2024
234 pages
  • ISBN978-3-7258-0820-5 (Hardback)
  • ISBN978-3-7258-0819-9 (PDF)

This is a Reprint of the Special Issue Fractional-Order Systems and Its Applications in Engineering that was published in

Biology & Life Sciences
Chemistry & Materials Science
Computer Science & Mathematics
Physical Sciences
Summary

As data systems become more effective, more and more mathematical approaches have been applied to real-world applications to achieve exceptional outcomes. Fractional approaches (such as fractional calculus, fractional Fourier analysis, and the linear canonical transform) are gaining importance in the area of mathematics and are gaining attention from the community of applied mathematicians. The theory and method of fractional domain analysis may further define the dynamic process of signal translation from time domains to frequency domains, creating a new avenue for non-stationary signal analyses and treatment studies. In technical domains such as the radar, communications, and sonar domains, fractional approaches are preferable to traditional integral methods because they offer novel concepts, procedures, and ideas. Due to the unpredictability of the sent signal in actual engineering systems and the effect of different disturbances and noises on the transmission process, despite the numerous benefits of these new fractional approaches, a few critical issues still need to be resolved. Simultaneously, fraction theory is confronted with several practical limits in engineering, such as sampling and filtering in the sphere of multidimensional signals. This Special Issue focuses on the current successes and potential difficulties of fractional techniques in engineering theory and applications.

Format
  • Hardback
License and Copyright
© 2024 by the authors; CC BY-NC-ND license
Keywords
coupled system; Langevin equations; generalized fractional integrals; generalized fractional derivatives; stability; existence; fixed point; COVID-19; fractional epidemic model; Caputo operator; existence and uniqueness; numerical simulations; convergence analysis; fractals; efficiency index; symmetric twisting of polynomiographs; Newton’s method; non-Newtonian calculus; Bullen inequality; multiplicatively convex functions; non-Newtonian calculus; Simpson inequality; multiplicatively convex functions; Caputo derivative; fractional calculus; finite difference; fractional-order; initial boundary value problems; stability analysis; Katugampola operator; uniqueness of solutions; Banach space; integro-differential equations; existence theorem; Adomian decomposition; fractional operator; fixed point; dual Simpson inequality; Newton–Cotes quadrature; s-convex functions; Lipschitzian functions; bounded functions; fractional-order model; wAlbB strain; density-dependent death; CI; Wolbachia spread symmetry; Generalized Proportional Fractional Differential Equations; Generalized Proportional Fractional Derivative; state feedback controller; Lipschitz; One-Sided Lipschitz; Mittag–Leffler kernel; fractional norovirus epidemic model; ABC-fractional derivative; iterative solution; numerical scheme; GPFOSs; unknown input observer; one-sided Lipschitz nonlinear system; Mittag–Leffler stability; rolling mill system; bifurcation; fractional derivative; stochastic response; noise

Related Books

June 2022

Fractional Calculus - Theory and Applications

Computer Science & Mathematics
October 2019

Fractional Order Systems

Engineering
August 2022

Applied Mathematics and Fractional Calculus

Computer Science & Mathematics
November 2023

Applied Mathematics and Fractional Calculus II

Biology & Life Sciences