Reprint
Advances in Fractional Order Derivatives and Their Applications
Edited by
September 2023
224 pages
- ISBN978-3-0365-8699-1 (Hardback)
- ISBN978-3-0365-8698-4 (PDF)
This book is a reprint of the Special Issue Advances in Fractional Order Derivatives and Their Applications that was published in
Computer Science & Mathematics
Summary
This reprint is a series of articles devoted to advanced applications in fractional calculus, from both analytical and numerical perspectives. The topics covered include symmetry analysis, image enhancements, heat transfer mechanisms, and machine learning.
Format
- Hardback
License and Copyright
© 2022 by the authors; CC BY-NC-ND license
Keywords
PT-symmetric; fifth-order Korteweg-de vries-like equation; symmetry analysis; conservation laws; SD oscillator; fractional damping; primary resonance; nonlinear dynamics; collocation method; fractional optimal-control problem; fractional variational principle; exponential convergence; soliton solutions; fractional Peyrard–Bishop–Dauxois DNA model; M-truncated and β-fractional derivatives; Kudryashov’s R function method; fractional Hamiltonian systems; Mountain Pass Theorem; genus properties critical point; local fractional derivative; Mittag–Leffler function; Yang’s special function method; cantor sets; time fractional; Lie symmetry; Erdélyi–Kober; well-posedness; growth estimate; asymptotic behaviours; combined Liouville–Caputo fractional derivative; numerical simulations; stochastic models; second moment bound; living tissue; fractional time derivatives; analytical solutions; thermo-mechanical interactions; Laplace transform; thermal relaxation time; fractional derivative; gradient descent optimizer; machine learning; anomalous heat transfer; double-strip problem; fractional Jeffreys equation; Kelvin–Voigt solid; image enhancement; Caputo-fractional derivative; time-delay regularization; anisotropic diffusion model; bond option pricing; Black–Scholes model; Riemann–Liouville; heat equation