Analytical solutions to the coupled fractional neutron diffusion equations with delayed neutrons system using Laplace transform method

Analytical solutions to the coupled fractional neutron diffusion equations with delayed neutrons system using Laplace transform method

The neutron diffusion equation (NDE) is one of the most important partial differential equations (PDEs), to describe the neutron behavior in nuclear reactors and many physical phenomena. In this paper, we reformulate this problem via Caputo fractional derivative with integer-order initial conditions...

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Bibliographic Details
Main Authors: Aliaa Burqan, Mohammed Shqair, Ahmad El-Ajou, Sherif M. E. Ismaeel, Zeyad AlZhour
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:AIMS Mathematics
Subjects:
diffusion equation
kinetic exact solution
laplace transform
caputo factional operator
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023984?viewType=HTML

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