Nonlocal fractal neutrons transport equation and its implications in nuclear engineering
From MaRDI portal
Publication:2083831
DOI10.1007/s00707-022-03317-0OpenAlexW4294091556WikidataQ113904888 ScholiaQ113904888MaRDI QIDQ2083831
Waranont Anukool, Ahmad Rami El-Nabulsi
Publication date: 11 October 2022
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-022-03317-0
Related Items (2)
An efficient approach to converting the damping fractal models to the traditional system ⋮ Improvement of nonlocal Pennes heat transfer equation in fractal dimensions in the analysis of tumor growth
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A physically based connection between fractional calculus and fractal geometry
- Fractional complexified field theory from Saxena-Kumbhat fractional integral, fractional derivative of order (\(\alpha, \beta\)) and dynamical fractional integral exponent
- Glaeske-Kilbas-Saigo fractional integration and fractional Dixmier trace
- Fractal dimension versus process complexity
- Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems
- A mapping from Schrödinger equation to Navier-Stokes equations through the product-like fractal geometry, fractal time derivative operator and variable thermal conductivity
- Fractal materials, beams, and fracture mechanics
- On turbulence in fractal porous media
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros
- Micropolar continuum mechanics of fractal media
- Fractional-order modeling of neutron transport in a nuclear reactor
- Waves in fractal media
- Fractal derivative model for air permeability in hierarchic porous media
- Path integral formulation of fractionally perturbed Lagrangian oscillators on fractal
- Fractal dimensions in fluid dynamics and their effects on the Rayleigh problem, the Burger's vortex and the Kelvin-Helmholtz instability
- Fractal dimension modeling of seismology and earthquakes dynamics
- Fractional viscoelasticity in fractal and non-fractal media: theory, experimental validation, and uncertainty analysis
- Self-similar solutions of some model degenerate partial differential equations of the second, third, and fourth order
- Why fractional derivatives with nonsingular kernels should not be used
- On nonlocal fractal laminar steady and unsteady flows
- Extremum and variational principles for elastic and inelastic media with fractal geometries
- Averaging principles for the Swift-Hohenberg equation
- Steady laminar flow of fractal fluids
- Fractional Navier-Stokes equation from fractional velocity arguments and its implications in fluid flows and microfilaments
- Continuous medium model for fractal media
- Fractional hydrodynamic equations for fractal media
- Asymptotic behavior for nonlocal diffusion equations
- Fractal solids, product measures and fractional wave equations
- Fourth-order differential equations for numerator polynomials
- The generalized Cattaneo equation for the description of anomalous transport processes
- Chaos in Dynamical Systems
- Thermo-poromechanics of fractal media
- Nonlocal Effects to Neutron Diffusion Equation in a Nuclear Reactor
- Fractal planetary rings: Energy inequalities and random field model
- Fractional actionlike variational problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Nonlocal fractal neutrons transport equation and its implications in nuclear engineering