CONSTRUCTION OF EMPIRICAL MODELS VIA A STEPWISE FITTING OF A FRACTIONAL NEWTONIAN COOLING LAW

DOI10.1142/S0218348X22501225OpenAlexW4280571104MaRDI QIDQ5044620

F. A. Godínez, A. Casillas-García de Presno

Publication date: 2 November 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22501225

zbMATH Keywords

Mittag-Leffler functiongenetic algorithmCaputo derivativeNewton's law of coolingMpemba effectstepwise fitting model

Mathematics Subject Classification ID

Statistics (62-XX) Systems theory; control (93-XX)

Uses Software

• Mittag-Leffler
• Optim

Cites Work

• On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
• On Riemann-Liouville and Caputo derivatives
• Fractional order calculus: basic concepts and engineering applications
• A review of definitions for fractional derivatives and integral
• Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator
• New aspects of fractional Bloch model associated with composite fractional derivative

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