Deep neural network methods for solving forward and inverse problems of time fractional diffusion equations with conformable derivative

Y Ye, H Fan, Y Li, X Liu, H Zhang - Neurocomputing, 2022 - Elsevier
Fractional diffusion equations with conformable derivative have become an important
research topic in Newtonian mechanics, quantum mechanics, arbitrary time scale problems …

A new compartmental fractional neutron point kinetic equations with different fractional orders

G Espinosa-Paredes, CA Cruz-López - Nuclear Engineering and Design, 2024 - Elsevier
Fractional models of the Neutron Point Kinetic Equations have been developed to overcome
certain limitations related to the classical approaches, considering more general physical …

[PDF][PDF] Practical stability for nonlinear systems with generalized conformable derivative

M Aldandani, O Naifar, AB Makhlouf - AIMS Math., 2023 - aimspress.com
In this study, we give the stability analysis of a class of nonlinear systems with a generalized
conformable derivative, which guarantees that their solutions converge to a ball centered at …

The estimation problem for nonlinear systems modeled by conformable derivative: Design and applications

O Martinez-Fuentes, E Tlelo-Cuautle… - … in Nonlinear Science …, 2022 - Elsevier
This work presents an introductory observer theory for nonlinear dynamic systems modeled
by the general conformable fractional derivative. General conformable exponential …

A computational-experimental model of reactor kinetic for investigating the linearity response of in-core neutron detectors of a low power research reactor

A Asgari, MHC Dastjerdi, J Mokhtari - Nuclear Engineering and Design, 2024 - Elsevier
In this study, the linear response of fission chamber (FC) neutron detectors in Isfahan
miniature neutron source reactor (MNSR) is investigated through experiments and …

[HTML][HTML] Stability analysis in BWRs with double subdiffusion effects: Reduced order fractional model (DS-F-ROM)

G Espinosa-Paredes, RI Cázares-Ramírez… - Nuclear Engineering …, 2024 - Elsevier
The aim of this work is to explore the effect of the double subdiffusion on the stability in
BWRs. A BWR novel reduced order model with double subdiffusion effects: reduced order …

Stability/instability Maps of the Neutron Point Kinetic Model with Conformable and Caputo Derivatives

FA Godinez, G Fernandez-Anaya, S Quezada-Garcia… - Fractals, 2023 - World Scientific
Behavior analysis of the neutron point kinetic model with Caputo and conformable
derivatives (Khalil and Almeida operators) was performed. Hence, boundary thresholds that …

[PDF][PDF] On a conformable fractional differential equations with maxima

M Derhab - Malaya Journal of Matematik, 2024 - malayajournal.org
On a conformable fractional differential equations with maxima Page 1 MALAYA JOURNAL OF
MATEMATIK Malaya J. Mat. 12(01)(2024), 85–103. http://doi.org/10.26637/mjm1201/007 On a …

[PDF][PDF] Solution to fractional neutron point kinetic model considering six energy groups using conformable derivatives

G Fernández-Anaya, LA Quezada-Téllez… - 2023 - allmultidisciplinaryjournal.com
In this work the Conformable model, obtained from Fractional Neutron Point Kineticmodel, is
extended to consider six groups of delayed neutron precursors. The methodology to …

[PDF][PDF] Mathematical model to estimate volumetric oxygen transfer coefficient in bioreactors using conformable calculus Modelo matemático para estimar el coeficiente …

R Melgarejo-Torres, D Rosales-Mercado… - researchgate.net
El objetivo de este trabajo fue proponer un modelo de Transferencia de Masa Convectivo
Conformal,(CCMT) para estimar coeficientes de transferencia de masa (kLa) en …